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Schur΄s Theorem for Operators

I. J. Maddox (1975)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

Semi-groups of rank-preserving transformers on minimal norm ideals in $ℬ (ℋ)$

E. Prugovečki, A. Tip (1975)

Compositio Mathematica

Sequentially Right Banach spaces of order $p$

Mahdi Dehghani, Mohammad B. Dehghani, Mohammad S. Moshtaghioun (2020)

Commentationes Mathematicae Universitatis Carolinae

We introduce and study two new classes of Banach spaces, the so-called sequentially Right Banach spaces of order $p$ , and those defined by the dual property, the sequentially Right $^{*}$ Banach spaces of order $p$ for $1 \leq p \leq \infty$ . These classes of Banach spaces are characterized by the notions of $L_{p}$ -limited sets in the corresponding dual space and $R_{p}^{*}$ subsets of the involved Banach space, respectively. In particular, we investigate whether the injective tensor product of a Banach space $X$ and a reflexive Banach space...

Sets of p-multiplicity in locally compact groups

I. G. Todorov, L. Turowska (2015)

Studia Mathematica

We initiate the study of sets of p-multiplicity in locally compact groups and their operator versions. We show that a closed subset E of a second countable locally compact group G is a set of p-multiplicity if and only if $E * = (s, t) : t s^{- 1} \in E$ is a set of operator p-multiplicity. We exhibit examples of sets of p-multiplicity, establish preservation properties for unions and direct products, and prove a p-version of the Stone-von Neumann Theorem.

Small ideals of operators

Albrecht Pietsch (1974)

Studia Mathematica

s-Numbers of operators in Banach spaces

Albrecht Pietsch (1974)

Studia Mathematica

Some density theorems for Toeplitz operators on Bergman spaces

Miroslav Engliš (1990)

Czechoslovak Mathematical Journal

Some generalizations of Kadison's theorem: a survey.

T. S. S. R. K. Rao (2004)

Extracta Mathematicae

Motivated by a well-known result of Kadison that describes surjective isometries of the space of compact and the space of bounded operators on a Hilbert space, in this paper we investigate the structure of surjective isometries on the space of compact and on the space of bounded operators between Banach spaces. We give an example to show that isometries in general need not be of the canonical form. As an application of our study of the group of isometries, we consider the algebraic reflexivity of...