Author
Birol Altın
Bio: Birol Altın is an academic researcher from Gazi University. The author has contributed to research in topics: Operator theory & Constant coefficients. The author has an hindex of 6, co-authored 12 publications receiving 134 citations.
Papers
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TL;DR: In this article, a boundedness property is introduced and characterizations of this property are given, where the boundedness is defined as the property that a property is bounded by a set of properties.
Abstract: A boundedness property is introduced and characterizations of this property are given.
58 citations
TL;DR: In this article, every b-weakly compact operator is shown to factor through a KB-space, and some necessary and sufficient conditions for a continuous operator T : E → X from a Banach lattice into a KB space to be a b-strongly compact is given.
Abstract: In this paper every b-weakly compact operator is shown to factor
through a KB-space. Also we give some necessary and sufficient conditions
for a continuous operator T : E → X from a Banach lattice into a Banach
space to be a b-weakly compact. Moreover, we investigated the order structure
of b-weakly compact operator.
23 citations
TL;DR: In this paper, an order boundedness property in Riesz spaces and Banach lattices was studied. But this property was not studied in the context of order bounded spaces.
Abstract: We study an order boundedness property in Riesz spaces and investigate Riesz spaces and Banach lattices enjoying this property.
23 citations
TL;DR: In this article, the b-weak compactness of a continuous operator T: E → X where X is a Banach space and E is a lattice, is characterized in terms of its mapping properties.
Abstract: We consider a continuous operator T: E → X where E is a Banach lattice and X is a Banach space. We characterize the b-weak compactness of T in terms of its mapping properties.
22 citations
Journal Article•
TL;DR: In this article, a characterization of quotient Riesz spaces with b-property is given, where b-weakly compact operators are considered. But it is not shown how to obtain properties of b-compact operators.
Abstract: In this study it is obtained some properties of b-weakly compact operators. Moreover, it is given a characterization of quotient Riesz space with b-property.
13 citations
Cited by
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TL;DR: In this article, the authors deal with characterizations of almost Dunford-Pettis operators from a Banach lattice into the Banach space, and generalize the duality between semi-compact and order weakly compact operators.
Abstract: This paper attempts to deal with some characterizations of almost Dunford–Pettis operators from a Banach lattice into a Banach space. It also discusses some of the consequences derived from this study. As an application, we generalize some results of Meyer-Nieberg on the duality between semi-compact operators and order weakly compact operators.
37 citations
TL;DR: In this paper, the necessary and sufficient conditions under which b-weakly compact operators between Banach lattices have b-strongly compact adjoints or operators with b-Weakly Compact (BWC)-adjectives are themselves BWCs.
Abstract: We establish necessary and sufficient conditions under which b-weakly compact operators between Banach lattices have b-weakly compact adjoints or operators with b-weakly compact adjoints are themselves b-weakly compact. Also, we give some consequences.
36 citations
TL;DR: In this article, every b-weakly compact operator is shown to factor through a KB-space, and some necessary and sufficient conditions for a continuous operator T : E → X from a Banach lattice into a KB space to be a b-strongly compact is given.
Abstract: In this paper every b-weakly compact operator is shown to factor
through a KB-space. Also we give some necessary and sufficient conditions
for a continuous operator T : E → X from a Banach lattice into a Banach
space to be a b-weakly compact. Moreover, we investigated the order structure
of b-weakly compact operator.
23 citations
TL;DR: In this paper, an order boundedness property in Riesz spaces and Banach lattices was studied. But this property was not studied in the context of order bounded spaces.
Abstract: We study an order boundedness property in Riesz spaces and investigate Riesz spaces and Banach lattices enjoying this property.
23 citations
TL;DR: In this article, the b-weak compactness of a continuous operator T: E → X where X is a Banach space and E is a lattice, is characterized in terms of its mapping properties.
Abstract: We consider a continuous operator T: E → X where E is a Banach lattice and X is a Banach space. We characterize the b-weak compactness of T in terms of its mapping properties.
22 citations