Results 171 to 180 of about 1,203,844 (201)

On the weak compactness of b-weakly compact operators

Positivity, 2009
In this paper, the aim of the authors is to prove that each b-weakly compact operator \(T\) from a Banach lattice \(E\) into a Banach space \(X\) is weakly compact if and only if the norm of dual space \(E'\) is order continuous or \(X\) is reflexive.
Aziz Elbour, Belmesnaoui Aqzzouz
exaly   +2 more sources

Weak compactness of almost L-weakly and almost M-weakly compact operators

Quaestiones Mathematicae, 2021
In this paper, we investigate conditions on a pair of Banach lattices E and F that tells us when every positive almost L-weakly compact (resp. almost M-weakly compact) operator T : E −→ F is weakly compact. Also, we present some necessary conditions that
Aziz Elbour
exaly   +1 more source

Compactness of b-weakly compact operators

Acta Scientiarum Mathematicarum, 2012
Belmesnaoui Aqzzouz
exaly   +2 more sources

Weak M weakly compact and weak L weakly compact operators

Afrika Matematika, 2022
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Oughajji, Fatima Zahra, Moussa, Mohammed
openaire   +2 more sources

On the class of b-weakly compact operators

Positivity, 2022
In this paper, by using the Banach-Saks sets the authors investigate the \(b\)-weakly compact operators. Firstly, they introduce some basic definitions and facts concerning Banach-Saks and \(b\)-order bounded sets. They prove that the notions of an \(L\)-weakly compact and a Banach-Saks set coincide for intervals. They present some characterizations of
Baklouti, Hamadi, Hajji, Mohamed, Moulahi, Radhouene   +2 more
openaire   +1 more source

Operators that are Weakly Coercive and a Compact Perturbation

Mathematica Slovaca, 2023
ABSTRACT Let X, Y be two Banach spaces over K = ℝ \[\mathbb{K}=\mathbb{
Soriano Arbizu, José María, Cabrera, Manuel Ordoñez   +1 more
openaire   +1 more source

A Note on b-Weakly Compact Operators

Positivity, 2007
Let \(E\) be a Banach lattice and \(X\) be a Banach space. A linear operator \(T:E\rightarrow X\) is called \(b\)-\textit{weakly compact} if \(T\) maps each subset of \(E\) which is \(b\)-order bounded (i.e., order bounded in \(E^{\prime\prime}\)) into a relatively weakly compact subset in \(X\).
Altin, BİROL, Alpay, Safak
openaire   +2 more sources

Weakly compact operators onH ?

Integral Equations and Operator Theory, 1999
We prove that a weakly compact operator fromH∞ or any of its even duals into an arbitrary Banach space is uniformly convexifying. By using this, we establish three dicothomies: (1) every operator defined onH∞ or any of its even duals either fixes a copy ofl∞ or factors through a Banach space having the Banach-Saks property; (2) every quotient ofH∞ or ...
Manuel D. Contreras, Santiago D�az
openaire   +1 more source

Approximation by Weakly Compact Operators inL1

Mathematische Nachrichten, 1984
For every bounded linear operator T in \(L_ 1[0,1]\) there is an element of best approximation in the ideal of weakly compact operators. We also give some sufficient conditions for \(\| T+S\| =\| T\| +\| S\|\), where S and T are \(L_ 1\)-operators.
openaire   +1 more source

Operators on the Fourier Algebra with Weakly Compact Extensions

Canadian Journal of Mathematics, 1974
We let G denote an infinite compact group, and Ĝ its dual. We use the notation of our book [3, Chapters 7 and 8]. Recall that A(G) denotes the Fourier algebra of G (an algebra of continuous functions on G), and denotes its dual space ...
Dunkl, Charles F., Ramirez, Donald E.
openaire   +2 more sources