Ondrej Kalenda

Seigneur, ouvre mes lèvres,
et ma bouche publiera ta louange.

Psaume 51

Research papers

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Transference of measures via disintegration (with J. Spurný; arXiv:2405.04202; Studia Math.)

On simpliciality of function spaces not containing constants (with J. Spurný; arXiv:2401.16100; J. Funct. Anal. 288 (2025), no. 4., article no. 110756 (share link valid till January 18, 2025); doi:10.1016/j.jfa.2024.110756)

Boundary integral representation of multipliers of fragmented affine functions and other intermediate function spaces (with J.Rondoš and J. Spurný; arXiv:2305.16920)

Topologies related to (I)-envelopes (with M.Raja; arXiv:2303.07691; Topol. Appl. (share link valid till December 13, 2024); doi:10.1016/j.topol.2024.109103)

Order type relations on the set of tripotents in a JB*-triple (with J.Hamhalter and A.M.Peralta; arXiv:2112.03155)

Determinants in Jordan matrix algebras (with J.Hamhalter and A.M.Peralta; arXiv:2110.10458; Linear and Multilinear Algebra 71 (2023), no. 6, 961-1002; doi:10.1080/03081087.2022.2049187)

On optimality of constants in the Little Grothendieck Theorem (with A.M.Peralta and H.Pfitzner; Studia Math. 264 (2022), no. 3, 263-304; doi:10.4064/sm201125-23-8; Online first version to download; arXiv:2002.12273)

Finite tripotents and finite JBW*-triples (with J.Hamhalter and A.M.Peralta; J. Math. Anal. Appl. 490 (2020), no. 1, article no. 124217; doi:10.1016/j.jmaa.2020.124217; Preprint no. MATH-KMA-2019/574; arXiv:1911.08254)

Extension of isometries from the unit sphere of a rank-2 Cartan factor (with A.M.Peralta; Analysis and Mathematical Physics 11 (2021), article no. 15, 25pp.; doi:10.1007/s13324-020-00448-2 Preprint no. MATH-KMA-2019/572; arXiv:1907.00575)

Plans on measures and AM-modulus (with V.Honzlová Exnerová, J.Malý and O.Martio; J. Funct. Anal. 281 (2021), no. 10, article no. 109205, 35pp.; doi:10.1016/j.jfa.2021.109205 (share link - free access till September 25, 2021); http://arxiv.org/abs/1904.04527)

Grothendieck's inequalities for JB*-triples: Proof of the Barton-Friedman conjecture (with J.Hamhalter, A.Peralta and H.Pfitzner; Trans. Amer. Math. Soc. 374 (2021), no. 2, 1327-1350; doi:10.1090/tran/8227; Preprint no. MATH-KMA-2019/569; http://arxiv.org/abs/1903.08931)

Measures of weak non-compactness in preduals of von Neumann algebras and JBW*-triples (with J.Hamhalter, A.Peralta and H.Pfitzner; J. Funct. Anal. 278 (2020), no. 1, article no. 108300; doi:10.1016/j.jfa.2019.108300; Preprint no. MATH-KMA-2019/567; http://arxiv.org/abs/1901.08056)

Projectional skeletons and Markushevich bases (Proc. London Math. Soc. (3) 120 (2020), no. 4, 514-586; doi:10.1112/plms.12299; Preprint no. MATH-KMA-2018/560; http://arxiv.org/abs/1805.11901)

Measures of weak non-compactness in spaces of nuclear operators (with J.Hamhalter; Math. Z. 292 (2019), no. 1-2, 453-471; doi:10.1007/s00209-019-02264-2 (view-only full-text); Preprint no. MATH-KMA-2017/547; http://arxiv.org/abs/1711.08906)

Finitely additive measures and complementability of Lipschitz-free spaces (with M.Cúth and P.Kaplický; Israel J. Math. 230 (2019), no. 1, 409-442; doi:10.1007/s11856-019-1829-y (view-only full-text); Preprint no. MATH-KMA-2017/537; http://arxiv.org/abs/1703.08384)

Absolute F_σδ spaces (with V.Kovařík; Topol. Appl. 233 (2018), no. 1, 44-51; doi:10.1016/j.topol.2017.10.020; http://arxiv.org/abs/1703.03066)

Isometric representation of Lipschitz-free spaces over convex domains in finite-dimensional spaces (with M.Cúth and P.Kaplický; Mathematika 63 (2017), no. 2, 538-552; doi:10.1112/S0025579317000031; Preprint no. MATH-KMA-2016/529; http://arxiv.org/abs/1610.03966)

Preduals of JBW* triples are 1-Plichko spaces (with M.Bohata, J.Hamhalter, A.M.Peralta and H.Pfitzner; Q. J. Math. 69 (2018), 655–680; doi:10.1093/qmath/hax057; Preprint no. MATH-KMA-2016/527; http://arxiv.org/abs/1609.00274)

On projectional skeletons in Vašák spaces (Comment. Math. Univ. Carolinae 58 (2017), no. 2, 173-182; doi:10.14712/1213-7243.2015.200; Preprint no. MATH-KMA-2015/513;http://arxiv.org/abs/1602.02558)

Decompositions of preduals of JBW and JBW* algebras (with M.Bohata and J.Hamhalter; J. Math. Anal. Appl. 446 (2017), no. 1, 18–37; doi:10.1016/j.jmaa.2016.08.031; Preprint no. MATH-KMA-2015/504; http://arxiv.org/abs/1511.01086)

On Markushevich bases in preduals of von Neumann algebras (with M.Bohata and J.Hamhalter; Israel J. Math. 214 (2016), no. 2, 867–884; doi:10.1007/s11856-016-1365-y (view-only full-text); Preprint no. MATH-KMA-2015/493; http://arxiv.org/abs/1504.06981)

Preserving affine Baire classes by perfect affine maps (with J.Spurný; Quaest. Math. 39 (2016), no. 3, 351-362; doi:10.2989/16073606.2015.1073813; Preprint no. MATH-KMA-2015/486; http://arxiv.org/abs/1501.05118)

Baire classes of affine vector-valued functions (with J.Spurný; Studia Math. 233 (2016), no. 3, 227-277; doi:10.4064/sm8278-5-2016; Preprint no. MATH-KMA-2014/475; http://arxiv.org/abs/1411.1874)

Quantification of the Banach-Saks property (with H.Bendová and J.Spurný; J. Funct. Anal. 268 (2015), no. 7, 1733-1754; doi:10.1016/j.jfa.2014.12.003; Preprint no. MATH-KMA-2014/467; http://arxiv.org/abs/1406.0684)

Monotone retractability and retractional skeletons (with M.Cúth; J. Math. Anal. Appl. 423 (2015), no. 1, 18–31; doi:10.1016/j.jmaa.2014.09.029; Preprint no. MATH-KMA-2014/455; http://arxiv.org/abs/1403.4480)

Typical martingale diverges at a typical point (with J.Spurný; J. Theor. Prob. 29 (2016), no. 1, 180-205; doi:10.1007/s10959-014-0567-7; Preprint no. MATH-KMA-2013/445; http://arxiv.org/abs/1311.0194)

Rich families and elementary submodels (with M.Cúth; Cent. Eur. J. Math. 12 (2014), no. 7, 1026-1039, doi:10.2478/s11533-013-0400-z; Preprint no. MATH-KMA-2013/428; http://arxiv.org/abs/1308.1818)

Note on Bessaga-Klee classification (with M.Cúth; Colloq. Math. 140 (2015), no. 1, 59-74; doi:10.4064/cm140-1-5; Preprint no. MATH-KMA-2013/426; http://arxiv.org/abs/1307.8246)

On quantitative Schur and Dunford-Pettis properties (with J.Spurný; Bull. Austral. Math. Soc. 91 (2015), no. 3, 471-486; doi:10.1017/S0004972715000076; Preprint no. MATH-KMA-2013/415; http://arxiv.org/abs/1302.6369)

Optimal approximate fixed point results in locally convex spaces (with C.S.Barroso and M.P.Rebouças; J. Math. Anal. Appl. 401 (2013), no. 1, 1-8; doi:10.1016/j.jmaa.2012.10.026; Preprint no. MATH-KMA-2012/395; http://arxiv.org/abs/1206.3544)

Quantification of the reciprocal Dunford-Pettis property (with J.Spurný; Studia Math. 210 (2012), no. 3, 261-278, doi:10.4064/sm210-3-6; Preprint no. MATH-KMA-2012/391; http://arxiv.org/abs/1204.4308)

Quantitative Dunford-Pettis property (with M.Kačena and J.Spurný; Advances in Math. 234 (2013), 488-527, doi:10.1016/j.aim.2012.10.019; Preprint no. MATH-KMA-2011/377; http://arxiv.org/abs/1110.1243)

Complementation in spaces of continuous functions on compact lines (with W.Kubiś; J. Math. Anal. Appl. 386 (2012), no. 1, 241-257; doi:10.1016/j.jmaa.2011.07.057; Preprint no. MATH-KMA-2011/363; http://arxiv.org/abs/1105.4262)

On a difference between quantitative weak sequential completeness and the quantitative Schur property (with J.Spurný; Proc. Amer. Math. Soc. 140 (2012), no. 10, 3435-3444; doi:10.1090/S0002-9939-2012-11175-X; Preprint no. MATH-KMA-2011/359; http://arxiv.org/abs/1103.2975)

On the approximate fixed point property in abstract spaces (with C.S.Barroso and P-K.Lin; Math. Z. 271 (2012), no. 3-4, 1271-1285; doi:10.1007/s00209-011-0915-6; Preprint no. MATH-KMA-2011/357; http://arxiv.org/abs/1101.5274)

On quantification of weak sequential completeness (with H.Pfitzner and J.Spurný; J. Funct. Anal. 260 (2011), no. 10, 2986-2996, doi:10.1016/j.jfa.2011.02.006; Preprint no. MATH-KMA-2010/352; http://arxiv.org/abs/1011.6553)

A quantitative version of James' compactness theorem (with B.Cascales and J.Spurný; Proc. Edinburgh Math. Soc., II. Ser. 55 (2012), no. 2, 369-386, doi:10.1017/S0013091510000842; Preprint no. MATH-KMA-2010/334; http://arxiv.org/abs/1005.5693)

Spaces not containing l₁ have weak aproximate fixed point property (J. Math. Anal. Appl. 373 (2011), no. 1, 134-137, doi:10.1016/j.jmaa.2010.06.052; Preprint no. MATH-KMA-2010/331; http://arxiv.org/abs/1005.1218)

Compactness in Banach space theory - selected problems (with A.Avilés; Preprint no. MATH-KMA-2009/314; Rev. R. Acad. Cien. Serie A. Mat. 104 (2010), no. 2, 337-352, DOI: 10.5052/RACSAM.2010.21; http://arxiv.org/abs/1005.4303)

Envelopes of open sets and extending holomorphic functions on dual Banach spaces (with D.García and M.Maestre; J. Math. Anal. Appl. 363 (2010), no. 2, 663-678; doi:10.1016/j.jmaa.2009.09.051; Preprint no. MATH-KMA-2009/306; http://arxiv.org/abs/0905.2531)

A note on intersections of simplices (with D.A.Edwards and J.Spurný; Bull. Soc. Math. France 139 (2011), no. 1, 89-95; Preprint no. MATH-KMA-2009/304)

The structure of Valdivia compact lines (with W.Kubiś Topol. Appl. 157 (2010), no. 7, 1142-1151; doi:10.1016/j.topol.2010.02.001; Preprint no. MATH-KMA-2008/284; http://arxiv.org/abs/0811.4144)

Boundaries of compact convex sets and fragmentability (with J.Spurný; J. Funct. Anal. 256 (2009), no. 3, 865-880; doi:10.1016/j.jfa.2008.11.004; Preprint no. MATH-KMA-2008/262)

Natural examples of Valdivia compact spaces (Preprint no. MATH-KMA-2007/247; J. Math. Anal. Appl. 340 (2008), no. 1, 81-101; doi:10.1016/j.jmaa.2007.07.069)

Quotients of continuous convex functions on nonreflexive Banach spaces (with P.Holický, L.Veselý and L.Zajíček; Preprint no. MATH-KMA-2007/241; Bull. Acad. Polon. Sci. 55 (2007), no. 3, 211-217.)

On products with the unit interval (Preprint no. MATH-KMA-2007/233; Topol. Appl. 155 (2008), no. 10, 1098-1104; doi:10.1016/j.topol.2008.01.010)

Fiber orders and compact spaces of uncountable weight (with A.Avilés; Fundamenta Mathematicae 204 (2009), no. 1, 7-38; doi:10.4064/fm204-1-2; Preprint no. MATH-KMA-2006/227; http://arxiv.org/abs/0903.0657)

(I)-envelopes of unit balls and James' characterization of reflexivity (Preprint no. MATH-KMA-2006/202; Studia Math. 182 (2007), no. 1, 29-40.)

The convergence space of minimal usco mappings (with R.Anguelov; Preprint no. MATH-KMA-2006/197; Czechoslovak Math. J. 59 (134) (2009), no. 1, 101-128; doi:10.1007/s10587-009-0008-4)

Baire-one mappings contained in a usco map (Preprint no. MATH-KMA-2006/196; Comment. Math. Univ. Carolinae 48 (2007), no. 1, 135-145.)

(I)-envelopes of closed convex sets in Banach spaces (Preprint no. MATH-KMA-2006/191; Israel J. Math. 162 (2007), no. 1, 157-181.)

A converse to Amir-Lindenstrauss theorem in complex Banach spaces (Preprint no. MATH-KMA-2006/190; Rev. R. Acad. Cien. Serie A. Mat. 100 (2006), no. 1-2, 183-190.)

Complex Banach spaces with Valdivia dual unit ball ( Extracta Math. 20 (2005), no.3, 243-259; Preprint no. MATH-KMA-2005/187)

C(K) spaces which cannot be uniformly embedded into (with J.Pelant and P.Holický, Fundamenta Mathematicae 192 (2006), 245-254; Preprint no. MATH-KMA-2005/174)

Descriptive hierarchy of complex Banach spaces, Spring 2005, unpublished manuscript - pdf file (237 kB); Preprint no. MATH-KMA-2005/169, see KMA Preprint Series

A solution of the abstract Dirichlet problem for Baire-one functions (with J.Spurný; J. Funct. Anal. 232 (2006), 259-294; Preprint no. MATH-KMA-2005/167)

Remark on the abstract Dirichlet problem for Baire-one functions (Preprint no. MATH-KMA-2004/143, Bull. Acad. Polon. Sci. 53 (2005), no. 1, 55-73.)

Extending Baire-one functions on topological spaces (with J.Spurný;Topol. Appl. 149 (2005), 195-216; Preprint no. MATH-KMA-2004/133)

Note on Countable Unions of Corson Countably Compact Spaces (Preprint No. MATH-KMA-2003/113; Comment. Math. Univ. Carolinae 45 (2004), no. 3, 499-507)

Descriptive Properties of Spaces of Signed Measures (with M.Raja; Preprint No. MATH-KMA-2003/109, Acta Univ. Carolinae 44 (2003), no. 2, 79-88)

Filling Analytic Sets by the Derivatives of C¹-Smooth Bumps (with M.Fabian and J.Kolář; Preprint No. MATH-KMA-2002/76; Proc. Amer. Math. Soc. 133 (2005), no. 1, 295-303)

On the Class of Continuous Images of Valdivia Compacta (Preprint No. MATH-KMA-2002/75; Extracta Math. 18 (2003), no.1, 65-80)

On Subclasses of Weak Asplund Spaces (with K.Kunen, Preprint No. MATH-KMA-2001/62; Proc. Amer. Math. Soc. 133 (2005), no.2, 425-429)

A Weak Asplund Spaces Whose Dual is not in Stegall's Class (Preprint No. MATH-KMA-2001/59, Proc. Amer. Math. Soc. 130 (2002), no. 7, 2139-2143)

M-bases in Spaces of Continuous Functions on Ordinals (Preprint No. MATH-KMA-2001/55; Colloquium Math. 92 (2002), no. 2, 179-187)

A New Banach Space with Valdivia Dual Unit Ball (Preprint No. MATH-KMA-2001/46; Israel J. Math. 131 (2002), 139-147)

Note on Markushevich Bases in Subspaces and Quotients of Banach Spaces (Preprint No. MATH-KMA-2000/39; Bull. Acad. Polon. Sci. 50 (2002), no. 2, 117-126)

A Characterization of Weakly Lindelöf Determined Banach Spaces (Preprint No. KMA-2000-29; Serdica Math. J. 29 (2003), no. 2, 95-108)

On Double-derived Sets in Topological Spaces (Houston Journal of Mathematics 26 (2000), no. 4, 807-809)

Valdivia Compact Spaces in Topology and Banach Space Theory (a survey paper, Extracta Math. 15, no.1, 2000, 1-85)

Valdivia Compacta and Biduals of Asplund Spaces (Preprint No. KMA-1999-14; in T.Banakh (ed.), `General Topology in Banach spaces', Nova Sci. Publ., Huntington, New York, 2001, 115-125)

Valdivia Compacta and Subspaces of C(K) Spaces (Preprint No. KMA-1999-12; Extracta Math. 14, no. 3(1999), 355-371)

Embedding the Ordinal Segment into Continuous Images of Valdivia Compacta (Preprint No. KMA-1999-3; Comment. Math. Univ. Carolinae 40, no. 4, (1999), 777-783)

Valdivia Compacta and Equivalent Norms (Preprint No. KMA-1999-2; Studia Mathematica 138, no. 2, (2000), 179-191)

A Characterization of Valdivia Compact Spaces (Collectanea Mathematica 51, no. 1,(2000), 59-81)

Continuous Images and Other Topological Properties of Valdivia Compacta ( Fundamenta Mathematicae 162 (1999), no.2, 181-192)

An Example Concerning Valdivia Compact Spaces ( Serdica Math. J., 25 (2) (1999), 131-140)

Descriptive Properties of Spaces of Measures (with P.Holický, Bull. Acad. Polon. Sci., 47 (1) (1999), 37-51)

Weakly Stegall spaces, Spring 1997, unpublished manuscript - pdf file (99 kB)

Stegall Compact Spaces which are not Fragmentable(Topol. Appl., 96 (2) (1999), 121-132)

New Examples of Hereditarily t-Baire Spaces ( Bull. Acad. Polon. Sci., 46 (2) (1998), 197-210)

Note on Connections of the Point of Continuity Property and Kuratowski Problem on Function Having the Baire Property (Acta Univ. Carolinae, 38 (1) (1997), 3-12)

Remark on the Point of Continuity Property II (with P.Holický, Bull. Acad. Polon. Sci., 43 (2) (1995), 105-111)

Abstract

Fiber orders and compact spaces of uncountable weight
We study an order relation on the fibers of a continuous map and its application to the study of the structure of compact spaces of uncountable weight.