Results 151 to 160 of about 17,687 (188)
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"Operator ideals on ordered Banach spaces"
2013In this thesis we study operator ideals on ordered Banach spaces such as Banach lattices, $C^*$-algebras, and noncommutative function spaces. The first part of this work is concerned with the domination problem: the relationship between order and algebraic ideals of operators.
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Ideals of Operators in Banach Spaces
1981In a sense, the theory of ideals of operators in Banach spaces we are going to discuss now in some of its aspects can be looked at as an outgrow of part of A. Grothendieck’s work on topological tensor products. The setting is due to A. Pietsch (see[5]) and provides a powerful and convenient tool in both the local theory of Banach spaces and the study ...
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On Hahn-Banach extensions for certain operator ideals
Archiv der Mathematik, 1986Let \({\mathfrak A}\) be a closed ideal of operators between Banach spaces, and let Y and Z be Banach spaces with Y a closed subspace of Z. We exhibit an extensive class of ideals with the property that the Banach spaces X for which every \(S: Y\to X\) in \({\mathfrak A}\) may be extended to a \(\tilde S:\) \(Z\to X\) also in \({\mathfrak A}\), are ...
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Derivations in the Banach ideals of $��$-compact operators
2012Let $\mathcal{M}$ be a von Neumann algebra equipped with a faithful normal semi-finite trace $ $ and let $S_0( )$ be the algebra of all $ $-compact operators affiliated with $\mathcal{M}$. Let $E( )\subseteq S_0( )$ be a symmetric operator space (on $\mathcal{M}$) and let $\mathcal{E}$ be a symmetrically-normed Banach ideal of $ $-compact ...
Ber, A. F., Sukochev, F. A.
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Banach ideals of operators with applications to the finite dimensional structure of Banach spaces
Israel Journal of Mathematics, 1972We present a few applications of the theory of Banach ideals of operators. In particular, we give operator characterizations of the ℒ p spaces, compute the relative projection constant of isometric embeddings of Hilbert spaces inL p -spaces, and show that Π1 (E, F ...
Gordon, Y. +2 more
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Operator Ideals on Hilbert Space Having a Unique Extension to Banach Spaces
Mathematische Nachrichten, 1984It is well known that there is a one-to-one correspondence between the set of all ideals of operators on \(\ell^ 2\) and a certain family of sequence spaces (consisting of s-numbers of operators in the corresponding ideals). The authors study conditions on a sequence space which guarantee that the associated operator ideal on \(\ell^ 2\) has a unique ...
Moscatelli, V. B., Simóes, M. A.
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Quasi-Banach operator ideals with a very strange trace
Archiv der Mathematik, 2013The paper presents quasi-Banach operator ideals \(\mathfrak{A}\) with surprising properties: (1) \(\mathfrak{A}\) supports a continuous trace \(\tau\) that vanishes at all finite rank operators. (2) \(\mathfrak{A}\) contains the identity map \(I_{Z}\) of an infinite-dimensional Banach space \(Z\) and \(\tau( I_{Z}) =1.\) So, there exist operators \(T ...
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Weak continuity of skew-Hermitian operators in Banach ideals
Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры», 2021Bekhzod Rasulovich Aminov +1 more
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Koopman operator dynamical models: Learning, analysis and control
Annual Reviews in Control, 2021Stefan Sosnowski
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