Grothendieck’s inequalities for JB$^*$-triples: Proof of the Barton–Friedman conjecture

Autor: Ondřej F. K. Kalenda, Antonio M. Peralta, Hermann Pfitzner, Jan Hamhalter

Publikováno v: Transactions of the American Mathematical Society
Transactions of the American Mathematical Society, American Mathematical Society, 2021, 374 (2), pp.1327-1350. ⟨10.1090/tran/8227⟩

We prove that, given a constant $K> 2$ and a bounded linear operator $T$ from a JB$^*$-triple $E$ into a complex Hilbert space $H$, there exists a norm-one functional $\psi\in E^*$ satisfying $$\|T(x)\| \leq K \, \|T\| \, \|x\|_{\psi},$$ for all $x\i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96d58474f8043b327435b1379ec39e01
https://doi.org/10.1090/tran/8227

Measures of weak non-compactness in spaces of nuclear operators

Autor: Ondřej F. K. Kalenda, Jan Hamhalter

Publikováno v: Mathematische Zeitschrift. 292:453-471

We show that in the space of nuclear operators from $\ell^q(\Lambda)$ to $\ell^p(J)$ the two natural ways of measuring weak non-compactness coincide. We also provide explicit formulas for these measures. As a consequence the same is proved for predua

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0fe45097b885517b88a0b89da366b693
https://doi.org/10.1007/s00209-019-02264-2

Absolute F spaces

Autor: Ondřej F. K. Kalenda, Vojtěch Kovařík

Publikováno v: Topology and its Applications. 233:44-51

We prove that hereditarily Lindelof space which is F σ δ in some compactification is absolutely F σ δ . In particular, this implies that any separable Banach space is absolutely F σ δ when equipped with the weak topology.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e159c1978e96246f55084fbd0a44d950
https://doi.org/10.1016/j.topol.2017.10.020

Plans on measures and AM-modulus

Autor: Olli Martio, Vendula Honzlová Exnerová, Ondřej F. K. Kalenda, Jan Malý

For measuring families of curves, or, more generally, of measures, M p -modulus is traditionally used. More recent studies use so-called plans on measures. In their fundamental paper [6] , Ambrosio, Di Marino and Savare proved that these two approach

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b6a301ddd5a4dd97dc52dbf243b9a84
http://arxiv.org/abs/1904.04527

Finite tripotents and finite JBW$^*$-triples

Autor: Ondřej F. K. Kalenda, Jan Hamhalter, Antonio M. Peralta

We study two natural preorders on the set of tripotents in a JB$^*$-triple defined in terms of their Peirce decomposition and weaker than the standard partial order. We further introduce and investigate the notion of finiteness for tripotents in JBW$

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9c6cbedaf9f8716c1c18fedfa390cb55