The Dunford-Pettis property in C*-algebras
Cho-Ho Chu, Bruno Iochum (1990)
Studia Mathematica
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Displaying similar documents to “An alternative Dunford-Pettis Property”
The Dunford-Pettis property in C*-algebras
On weakly closed functions
N. Ergun, T. Noiri (1990)
Matematički Vesnik
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A new proof that every weakly compact operator with domain L(μ) is representable.
Diómedes Bárcenas (1991)
Extracta Mathematicae
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The alternative Dunford-Pettis Property in the predual of a von Neumann algebra
Miguel Martín, Antonio M. Peralta (2001)
Studia Mathematica
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Let A be a type II von Neumann algebra with predual A⁎. We prove that A⁎ does not have the alternative Dunford-Pettis property introduced by W. Freedman [7], i.e., there is a sequence (φₙ) converging weakly to φ in A⁎ with ||φₙ|| = ||φ|| = 1 for all n ∈ ℕ and a weakly null sequence (xₙ) in A such that φₙ(xₙ) ↛ 0. This answers a question posed in [7].
On the approximate solutions of linear equations in the -space
Rabindranath Sen (1965)
Rendiconti del Seminario Matematico della Università di Padova
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On the Dunford-Pettis property
Bombal, Fernando (1988)
Portugaliae mathematica
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M-weak and L-weak compactness of b-weakly compact operators
J. H'Michane, A. El Kaddouri, K. Bouras, M. Moussa (2013)
Commentationes Mathematicae Universitatis Carolinae
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We characterize Banach lattices under which each b-weakly compact (resp. b-AM-compact, strong type (B)) operator is L-weakly compact (resp. M-weakly compact).
On the equality between some classes of operators on Banach lattices
Belmesnaoui Aqzzouz, Aziz Elbour, Mohammed Moussa (2012)
Mathematica Bohemica
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We establish some sufficient conditions under which the subspaces of Dunford-Pettis operators, of M-weakly compact operators, of L-weakly compact operators, of weakly compact operators, of semi-compact operators and of compact operators coincide and we give some consequences.
Some properties of weakly countably determined Banach spaces
M. Valdivia (1989)
Studia Mathematica
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A note on weakly -closed functions
Bishwambhar Roy (2013)
Mathematica Bohemica
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In this paper we introduce a new class of functions called weakly -closed functions with the help of generalized topology which was introduced by Á. Császár. Several characterizations and some basic properties of such functions are obtained. The connections between these functions and some other similar types of functions are given. Finally some comparisons between different weakly closed functions are discussed. This weakly -closed functions enable us to facilitate the formulation...