The weak Radon-Nikodym property in Banach spaces
Musiał, K.
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Displaying similar documents to “A remark on weak McShane integral”
The weak Radon-Nikodym property in Banach spaces
On restricted measurability
A. K. Mookhopadhyaya (1966)
Annales de l'institut Fourier
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Dans cet article, on étudie, certains résultats sur la mesurabilité restreinte [Trevor J. Mc Minn, Restricted Measurability, (1948), vol. 54, July-Dec., 1105] et à l’aide de cette notion, on construit une mesure de Radon analogue à celle de Mr. Sion [A Characterization of weak convergence, (1964), vol. 14, no 3, 1059] et on établit certaines de ses propriétés.
Paracompact Spaces and Radon Spaces
Rodriguez-Salinas, Baltasar (1999)
Serdica Mathematical Journal
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We prove that if E is a subset of a Banach space whose density is of measure zero and such that (E, weak) is a paracompact space, then (E, weak) is a Radon space of type (F ) under very general conditions.
An equivalent definition of the vector-valued McShane integral by means of partitions of unity
L. Di Piazza, V. Marraffa (2002)
Studia Mathematica
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An integral for vector-valued functions on a σ-finite outer regular quasi-Radon measure space is defined by means of partitions of unity and it is shown that it is equivalent to the McShane integral. The multipliers for both the McShane and Pettis integrals are characterized.
The multiplier for the weak McShane integral
Redouane Sayyad (2019)
Mathematica Bohemica
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The multiplier for the weak McShane integral which has been introduced by M. Saadoune and R. Sayyad (2014) is characterized.
Weak amenability of general measure algebras
Javad Laali, Mina Ettefagh (2008)
Colloquium Mathematicae
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We study the weak amenability of a general measure algebra M(X) on a locally compact space X. First we show that not all general measure multiplications are separately weak* continuous; moreover, under certain conditions, weak amenability of M(X)** implies weak amenability of M(X). The main result of this paper states that there is a general measure algebra M(X) such that M(X) and M(X)** are weakly amenable without X being a discrete topological space.
The weak Radon-Nikodym property in Banach spaces
Kazimierz Musiał (1979)
Studia Mathematica
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The weak Phillips property
Ali Ülger (2001)
Colloquium Mathematicae
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Let X be a Banach space. If the natural projection p:X*** → X* is sequentially weak*-weak continuous then the space X is said to have the weak Phillips property. We present several characterizations of the spaces having this property and study its relationships to other Banach space properties, especially the Grothendieck property.
Dual spaces of compact operator spaces and the weak Radon-Nikodým property
Keun Young Lee (2012)
Studia Mathematica
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We deal with the weak Radon-Nikodým property in connection with the dual space of (X,Y), the space of compact operators from a Banach space X to a Banach space Y. First, under the weak Radon-Nikodým property, we give a representation of that dual. Next, using this representation, we provide some applications to the dual spaces of (X,Y) and , the space of weak*-weakly continuous operators.