关于差分算子的一些性质及其若干刻画

Q4 Mathematics

Tatra Mountains Mathematical Publications Pub Date : 2022-11-01 DOI:10.2478/tmmp-2022-0013

D. Fathima, A. Ganie

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引用次数: 0

摘要

摘要在本文中，我们引入了形式的广义空间ℋ（f，g，Δnm），其中ℋ 表示其中一个空间ℓ∞, c或c0.将计算对应于这些空间的köThe对偶，并构造ℋ ∈ 将给出{c，c0}。此外，还将计算与这些空间有关的一些矩阵特征。此外，空间上几类紧致算子的性质ℓ∞（f，g，Δnm）和c0（f，g，Δnm。

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On Some Properties of Difference Operator with Some Characterizations

Abstract In this paper, we introduce the generalized spaces of the form ℋ(f, g, Δnm), where ℋ represents one of the spaces ℓ∞, c or c0.The köthe duals corresponding to these spaces will be computed and construction of the Schauder bases for ℋ ∈ {c, c0} will be given. Also, some matrix characterizations concerning these spaces will be computed. Moreover, the characterization of some classes of compact operators on the spaces ℓ∞(f, g, Δnm)and c0(f, g, Δnm)by employing the Hausdorff measure of non-compactness will be determined.

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来源期刊

Tatra Mountains Mathematical Publications Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量