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Showing 1 to 6 of 6 for “"Operator ideals"”.
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On Symmetric Operator Ideals and s-Numbers
… between various <em>s</em>-numbers of an operator<em> T</em> and its adjoint <em>T</em>∗ between Banach spaces. For non-compact operator <em>T</em> ∈ <em>L</em>(<em>X, Y</em> ), we do not have a lot of information about the relationship between n-th <em>s</em>-number, …
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Complemented Subspaces of Bounded Linear Operators
… been interested in the problem of whether an operator ideal is complemented in the space of all bounded linear operators. In this dissertation the complementation of various classes of operators in the space of all bounded linear operators is considered. This paper begins with a preliminary …
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Spaces of Compact Operators
… dissertation we study the structure of spaces of operators, especially the space of all compact operators between two Banach spaces X and Y. Work by Kalton, Emmanuele, Bator and Lewis on the space of compact and weakly compact operators motivates much of this paper. Let L(X,Y) be the Banach space …
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Sequences of compact curvature
… differential of a (cochain-)complex by "small" operators, one obtains what is referred to as quasicomplexes, i.e. a sequence whose curvature is not equal to zero in general. In this situation the cohomology is no longer defined. Note that it depends on the structure of the underlying spaces …
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Ideals and Commutators of Operators
<p>Subideals. A subideal of operators is an ideal of J (called a J-ideal) for J an arbitraryideal of B(H). Necessary and sufficient conditions are determined for a finitely generatedsubideal to be also an ideal of B(H) and then these conditions are exploited to characterizeall finitely generated …