Results 11 to 20 of about 1,203,844 (201)

Some results on disjointly weakly compact sets

Demonstratio Mathematica
We give an operator characterization of disjointly weakly compact sets and show that disjointly weakly compact sets coincide with reciprocal Dunford-Pettis sets.
Akay Barış, Gök Ömer
doaj   +2 more sources

Weakly compact-friendly operators

, 2009
Summary: We introduce weak compact-friendliness as an extension of compact-friendliness, and prove that if a non-zero weakly compact-friendly operator \(B:E\to E\) on a Banach lattice is quasi-nilpotent at some non-zero positive vector, then \(B\) has a non-trivial closed invariant ideal.
Çağlar, Mert, Mısırlıoğlu, Remzi Tunç   +1 more
core   +4 more sources

Interpolation of weakly compact operators

Archiv Der Mathematik, 1990
A generalization of a Beauzamy theorem about reflexivity of the Lions- Peetre interpolation spaces \(\bar A_{\theta,p}\) is obtained. The main theorem is for weakly compact operators but using our techniques it is possible to prove an analogical theorem for other classes of operators, for example, for weakly precompact operators.
Lech Maligranda
exaly   +5 more sources

On the class of order L-weakly and order M-weakly compact operators [PDF]

Positivity, 2021
Mohammed Moussa, Khalid Bouras
exaly   +2 more sources

Factoring weakly compact operators [PDF]

Journal of Functional Analysis, 1974
AbstractThe main result is that every weakly compact operator between Banach spaces factors through a reflexive Banach space. Applications of the result and technique of proof include new results (e.g., separable conjugate spaces embed isomorphically in spaces with boundedly complete bases; convex weakly compact sets are affinely homeomorphic to sets ...
Davis, W.J, Figiel, T, Johnson, W.B, Pelczynski, A   +3 more
openaire   +3 more sources

Some properties of weak Banach-Saks operators [PDF]

Mathematica Bohemica, 2021
We establish necessary and sufficient conditions under which weak Banach-Saks operators are weakly compact (respectively, {\rm L}-weakly compact; respectively, {\rm M}-weakly compact).
Othman Aboutafail, Larbi Zraoula, Noufissa Hafidi   +2 more
doaj   +1 more source

The relation between b-weakly compact operator and KB-operator

, 2019
Our aim is to solve the problem asked by Bahramnezhad and Azar in ``KB-operators on Banach lattices and their relationships with Dunford-Pettis and order weakly compact operators{''}.
Bahri Turan, Birol Altın
core   +3 more sources

Convolution semigroups of states. [PDF]

, 2011
Convolution semigroups of states on a quantum group form the natural noncommutative analogue of convolution semigroups of probability measures on a locally compact group.
Lindsay, Martin, Skalski, Adam G.
core   +4 more sources

Representing the Banach operator ideal of completely continuous operators; pp. 189–193 [PDF]

Proceedings of the Estonian Academy of Sciences, 2017
Let V ;W∞ and W be the operator ideals of completely continuous, weakly ∞-compact, and weakly compact operators, respectively. In a recent paper, William B. Johnson, Eve Oja, and the author proved that V = W∞ ◦W -1 (Johnson, W. B., Lillemets, R.,
Rauni Lillemets
doaj   +1 more source

New Characterizations of the Jeribi Essential Spectrum

International Journal of Analysis and Applications, 2023
In this paper, we give several characterizations of the Jeribi essential spectrum of a bounded linear operator defined on a Banach space by using the notion of almost weakly compact operators.
Belabbaci Chafika
doaj   +1 more source