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pro vyhledávání: '"Antara Bhar"'
Autor:
Antara Bhar, Manjul Gupta
Publikováno v:
Journal of Function Spaces and Applications, Vol 2013 (2013)
We introduce a notion of generalized approximation property, which we refer to as --AP possessed by a Banach space , corresponding to an arbitrary Banach sequence space and a convex subset of , the class of bounded linear operators on . This property
Externí odkaz:
https://doaj.org/article/058eb6cc9c0c469b9c634a21426a56cb
Autor:
Anil Kumar Karn, Antara Bhar
Publikováno v:
Glasgow Mathematical Journal. 60:123-134
Let λ be a symmetric, normal sequence space equipped with a k-symmetric, monotone norm ‖.‖λ. Also, assume that (λ, ‖.‖λ) is AK-BK. Corresponding to this sequence space λ, we study compactness of the operator ideal Kλ. We proved compactn
Autor:
Antara Bhar, Manjul Gupta
Publikováno v:
Mathematica Slovaca. 64:1475-1496
In this paper we introduce generalized or vector-valued Orlicz-Lorentz sequence spaces l p,q,M (X) on Banach space X with the help of an Orlicz function M and for different positive indices p and q. We study their structural properties and investigat
Autor:
Manjul Gupta, Antara Bhar
Publikováno v:
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas. 108:733-755
ForanarbitraryBanachspaceXandanarbitraryindexsetI,wedenoteby l∞,I (X ), the Banach space of all bounded families {xi }i∈I in X, equipped with the sup norm; and by l p,q,M,I (X ) and l p,q,r,I (X ), subspaces of l∞,I (X ), where p,q,r are positi
Autor:
Antara Bhar, Manjul Gupta
Publikováno v:
Indian Journal of Pure and Applied Mathematics. 44:355-374
Using the duality theory of sequence spaces, we study in this paper λ-compact operators defined on Banach spaces, corresponding to a sequence space λ. We show that these operators form a quasi-normed operator ideal under suitable restrictions on λ
Autor:
Manjul Gupta and Antara Bhar
Publikováno v:
Proceedings of Indian National Science Academy, Vol 44, Iss 3 (2014)
On ?-compact operators