Results 211 to 220 of about 2,892,867 (253)

Domination problem for AM-compact abstract Uryson operators

open access: yesArchiv der Mathematik, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V. Orlov, M. Pliev, D. Rode
semanticscholar   +8 more sources

Some results on b-AM-compact operators

open access: yesQuaestiones Mathematicae, 2018
We introduce and study a new class of operators that we call b-AMcompact operators, and we establish necessary and sufficient conditions on the duality property for this class of operators. As interesting consequences, we obtain some characterizations of discrete KB-spaces.Keywords: Order continuous norm, b-AM-compact operator, KB-space, discrete ...
Na Cheng
semanticscholar   +6 more sources

On b-AM-compact and AM-compact operators [PDF]

open access: yesPositivity, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Hajji, Mounir Mahfoudhi
semanticscholar   +9 more sources
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Duality properties for b-AM-compact operators on Banach lattices

Mathematical Notes, 2013
Let \(E,F\) be Banach lattices. A subset \(A\) of \(E\) is called \(b\)-order bounded if it is order bounded in the bidual \(E''\) of \(E\). \(E\) is said to have the \(b\)-property if each \(b\)-order bounded subset of \(E\) is also order bounded in \(E\).
Na Cheng, Zi-Li Chen, Guang-Zhou Chen
exaly   +4 more sources

Boundary representations of operator spaces, and compact rectangular matrix convex sets [PDF]

open access: yesJournal of operator theory, 2016
We initiate the study of matrix convexity for operator spaces. We define the notion of compact rectangular matrix convex set, and prove the natural analogs of the Krein--Milman and the bipolar theorems in this context.
Adam H. Fuller   +2 more
semanticscholar   +2 more sources

Some new results on the class of AM-compact operators

Rendiconti del Circolo Matematico di Palermo, 2010
An operator between Banach lattices is called \textit{AM-compact} if the image of each order interval \([-x,x]\), \(x\geq 0\), is norm relatively compact. In general, if \(T\) is AM-compact, its adjoint may not be AM-compact. Results relating the AM-compactness property of an operator to the AM-compactness property of its adjoint are provided.
B. Aqzzouz, A. Elbour
semanticscholar   +3 more sources

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