On weakly closed functions
N. Ergun, T. Noiri (1990)
Matematički Vesnik
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Displaying similar documents to “On sequences not enjoying Schur’s property”
On weakly closed functions
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 Banach spaces X such that L(Lp,X) = K(Lp,X).
Jesús M. Martínez Castillo (1995)
Extracta Mathematicae
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On the Dunford-Pettis property
Bombal, Fernando (1988)
Portugaliae mathematica
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An alternative Dunford-Pettis Property
Walden Freedman (1997)
Studia Mathematica
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An alternative to the Dunford-Pettis Property, called the DP1-property, is introduced. Its relationship to the Dunford-Pettis Property and other related properties is examined. It is shown that -direct sums of spaces with DP1 have DP1 if 1 ≤ p < ∞. It is also shown that for preduals of von Neumann algebras, DP1 is strictly weaker than the Dunford-Pettis Property, while for von Neumann algebras, the two properties are equivalent.
Polynomial characterizations of the Dunford-Pettis property.
Manuel González, Joaquín M. Gutiérrez (1991)
Extracta Mathematicae
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We introduce and characterize the class P of polynomials between Banach spaces whose restrictions to Dunford-Pettis (DP) sets are weakly continuous. All the weakly compact and the scalar valued polynomials belong to P. We prove that a Banach space E has the Dunford-Pettis (DP) property if and only if every P ∈ P is weakly sequentially continuous. This result contains a characterization of the DP property given in [3], answering a question of Pelczynski: E has the DP property if and only...
K-analytic locally convex spaces
Canela, Miguel A. (1982)
Portugaliae mathematica
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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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A new operator characterization of the Dunford-Pettis property
Fernando Bombal Gordon (1987)
Extracta Mathematicae
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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...
About Quotient Orders and Ordering Sequences
Sebastian Koch (2017)
Formalized Mathematics
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In preparation for the formalization in Mizar [4] of lotteries as given in [14], this article closes some gaps in the Mizar Mathematical Library (MML) regarding relational structures. The quotient order is introduced by the equivalence relation identifying two elements x, y of a preorder as equivalent if x ⩽ y and y ⩽ x. This concept is known (see e.g. chapter 5 of [19]) and was first introduced into the MML in [13] and that work is incorporated here. Furthermore given a set A, partition...