Zobrazeno 1 - 10
of 76
pro vyhledávání: '"Kalenda, Ondrej F. K."'
Autor:
Kalenda, Ondřej F. K., Spurný, Jiří
Given a compact space $K$ and a Banach space $E$ we study the structure of positive measures on the product space $K\times B_{E^*}$ representing functionals on $C(K,E)$, the space of $E$-valued continuous functions on $K$. Using the technique of disi
Externí odkaz:
http://arxiv.org/abs/2405.04202
Autor:
Kalenda, Ondřej F. K., Spurný, Jiří
We investigate simpliciality of function spaces without constants. We prove, in particular, that several properties characterizing simpliciality in the classical case differ in this new setting. We also show that it may happen that a given point is n
Externí odkaz:
http://arxiv.org/abs/2401.16100
We develop a theory of abstract intermediate function spaces on a compact convex set $X$ and study the behaviour of multipliers and centers of these spaces. In particular, we provide some criteria for coincidence of the center with the space of multi
Externí odkaz:
http://arxiv.org/abs/2305.16920
Autor:
Kalenda, Ondřej F. K., Raja, Matias
We investigate the question whether the (I)-envelope of any subset of a dual to a Banach space $X$ may be described as the closed convex hull in a suitable topology. If $X$ contains no copy of $\ell^1$ then the weak topology generated by functionals
Externí odkaz:
http://arxiv.org/abs/2303.07691
We introduce, investigate and compare several order type relations on the set of tripotents in a JB$^*$-triple. The main two relations we address are $\le_h$ and $\le_n$. We say that $u\le_h e$ (or $u\le_n e$) if $u$ is a self-adjoint (or normal) ele
Externí odkaz:
http://arxiv.org/abs/2112.03155
We introduce a natural notion of determinant in matrix JB$^*$-algebras, i.e., for hermitian matrices of biquaternions and for hermitian $3\times 3$ matrices of complex octonions. We establish several properties of these determinants which are useful
Externí odkaz:
http://arxiv.org/abs/2110.10458
Publikováno v:
Studia Math. 264 (2022), no. 3, 263-304
We explore the optimality of the constants making valid the recently established Little Grothendieck inequality for JB$^*$-triples and JB$^*$-algebras. In our main result we prove that for each bounded linear operator $T$ from a JB$^*$-algebra $B$ in
Externí odkaz:
http://arxiv.org/abs/2002.12273
Publikováno v:
J. Math. Anal. Appl. 490 (2020), no. 1, article no. 124217
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:
http://arxiv.org/abs/1911.08254
Publikováno v:
Analysis and Mathematical Physics 11 (2021), Article no. 15
We prove that every surjective isometry from the unit sphere of a rank-2 Cartan factor $C$ onto the unit sphere of a real Banach space $Y$, admits an extension to a surjective real linear isometry from $C$ onto $Y$. The conclusion also covers the cas
Externí odkaz:
http://arxiv.org/abs/1907.00575
Publikováno v:
J. Funct. Anal. 281 (2021), no. 10, article no. 109205, 35pp
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 \cite{ADS}, Ambrosio, Di Marino and Savar\'e proved that these two
Externí odkaz:
http://arxiv.org/abs/1904.04527