The Experts below are selected from a list of 12015930 Experts worldwide ranked by ideXlab platform
Ekrem Savas - One of the best experts on this subject based on the ideXlab platform.
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on double sequence spaces defined by an orlicz function on a seminormed space
Filomat, 2016Co-Authors: Ekrem Savas, Rahmet Savas ErenAbstract:In this paper we introduce and study the double sequence space $m^{''}(M,\phi ,q)$ by using the Orlicz function. Also we obtain some inclusion results involving the space $m^{''}(M,\phi ,q).$
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sequence spaces in 2 normed space defined by ideal convergence and an orlicz function
Abstract and Applied Analysis, 2011Co-Authors: Ekrem SavasAbstract:We study some new
Sunil K Sharma - One of the best experts on this subject based on the ideXlab platform.
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some i convergent sequence spaces defined by using sequence of moduli and n normed space
Journal of the Egyptian Mathematical Society, 2013Co-Authors: Sunil K Sharma, Ayhan EsiAbstract:Abstract In the present paper we study some I -convergent sequence spaces defined by a sequence of modulus functions over n-normed spaces. We also examine some topological properties and prove some inclusion relations between these spaces.
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a new sequence space defined by a sequence of orlicz functions over n normed spaces
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, 2012Co-Authors: Kuldip Raj, Sunil K SharmaAbstract:In this paper we introduce a new sequence space BVσ(M ,u , p, r,�· ,..., ·� ) defined by a sequence of Orlicz functions M =( Mk) and study some topological properties of this sequence space.
Th Schlumprecht - One of the best experts on this subject based on the ideXlab platform.
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a universal reflexive space for the class of uniformly convex banach spaces
Mathematische Annalen, 2006Co-Authors: Edward Odell, Th SchlumprechtAbstract:We show that there exists a separable reflexive Banach space into which every separable uniformly convex Banach space isomorphically embeds. This solves problems raised by J. Bourgain [B] in 1980 and by W. B. Johnson in 1977 [Jo]. We also give intrinsic characterizations of separable reflexive Banach spaces which embed into a reflexive space with a block q-Hilbertian and/or a block p-Besselian finite dimensional decomposition.
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a universal reflexive space for the class of uniformly convex banach spaces
arXiv: Functional Analysis, 2005Co-Authors: Edward Odell, Th SchlumprechtAbstract:We show that there exists a separable reflexive Banach space into which every separable uniformly convex Banach space isomorphically embeds. This solves a problem of J. Bourgain. We also give intrinsic characterizations of separable reflexive Banach spaces which embed into a reflexive space with a block $q$-Hilbertian and/or a block $p$-Besselian finite dimensional decomposition.
Ayhan Esi - One of the best experts on this subject based on the ideXlab platform.
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some i convergent sequence spaces defined by using sequence of moduli and n normed space
Journal of the Egyptian Mathematical Society, 2013Co-Authors: Sunil K Sharma, Ayhan EsiAbstract:Abstract In the present paper we study some I -convergent sequence spaces defined by a sequence of modulus functions over n-normed spaces. We also examine some topological properties and prove some inclusion relations between these spaces.
Abdillah, Said Amana - One of the best experts on this subject based on the ideXlab platform.
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Extensions au cadre Banachique de la notion d'opérateur de Hilbert-Schmidt
2020Co-Authors: Abdillah, Said AmanaAbstract:Cette thèse est consacrée à l’extension au cadre Banachique de la notion d’opérateur de Hilbert-Schmidt. Dans un premier temps, on étudie d’une part les opérateurs p-sommants dans un espace de Banach X vers un autre espace de Banach Y et d’autre part, les opérateurs gamma-radonifiants dans un espace de Hilbert vers un autre espace de Banach.Dans un second temps, on s'intéresse aux opérateurs gamma-sommants dans des espaces de Banach, qui coïncident avec les opérateurs de Rademacher-bornés, ce qui nous amène aux opérateurs presque sommants. Enfin, on en déduit plusieurs généralisations naturelles de la notion d’opérateur de Hilbert-Schmidt aux espaces de Banach.-Les classes des opérateurs p-sommants de X dans Y .-La classe des opérateurs presque sommants de X dans Y qui coïncide avec la classe des opérateurs gamma-radonifiants de X dans Y.-La classe des opérateurs faible* 1-nucléaires de X dans Y.This thesis is devoted to extending the notion of Banach Hilbert-Schmidt operator to the framework of Banach spaces. In a first step, we study p-summing operators from a Banach space X into a Banach space Y and gamma-radoniyfing operators from a Hilbert space into a Banach space. In a second step, we discuss gamma-summing operators between Banach spaces, which coincide with Rademacher-bounded operators, which leads to the notion of almost summing operators. Finally, we present serval natural generalizations of the notion of Hilbert-Schmidt operator to Banach spaces.- Classes of p-summing operators from X into Y. - The class of almost summing operators from X into Y, which coincides with the class of gamma-radoniyfing operators from X into Y.- The class of weak*1-nuclear operators from X into Y
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Extensions au cadre Banachique de la notion d'opérateur de Hilbert-Schmidt
2012Co-Authors: Abdillah, Said Amana, Esterle Jean, Haak, Bernhard HermannAbstract:Cette thèse est consacrée à l extension au cadre Banachique de la notion d opérateur de Hilbert-Schmidt. Dans un premier temps, on étudie d une part les opérateurs p-sommants dans un espace de Banach X vers un autre espace de Banach Y et d autre part, les opérateurs gamma-radonifiants dans un espace de Hilbert vers un autre espace de Banach.Dans un second temps, on s'intéresse aux opérateurs gamma-sommants dans des espaces de Banach, qui coïncident avec les opérateurs de Rademacher-bornés, ce qui nous amène aux opérateurs presque sommants. Enfin, on en déduit plusieurs généralisations naturelles de la notion d opérateur de Hilbert-Schmidt aux espaces de Banach.-Les classes des opérateurs p-sommants de X dans Y .-La classe des opérateurs presque sommants de X dans Y qui coïncide avec la classe des opérateurs gamma-radonifiants de X dans Y.-La classe des opérateurs faible* 1-nucléaires de X dans Y.This thesis is devoted to extending the notion of Banach Hilbert-Schmidt operator to the framework of Banach spaces. In a first step, we study p-summing operators from a Banach space X into a Banach space Y and gamma-radoniyfing operators from a Hilbert space into a Banach space. In a second step, we discuss gamma-summing operators between Banach spaces, which coincide with Rademacher-bounded operators, which leads to the notion of almost summing operators. Finally, we present serval natural generalizations of the notion of Hilbert-Schmidt operator to Banach spaces.- Classes of p-summing operators from X into Y. - The class of almost summing operators from X into Y, which coincides with the class of gamma-radoniyfing operators from X into Y.- The class of weak*1-nuclear operators from X into Y.BORDEAUX1-Bib.electronique (335229901) / SudocSudocFranceF
