n-Hilbert 空间中的受控框架及其张量乘积

IF 0.5 Q3 MATHEMATICS Russian Mathematics Pub Date : 2024-08-15 DOI:10.3103/s1066369x24700312

P. Ghosh, T. K. Samanta

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引用次数: 0

摘要

摘要介绍了受控框架的概念及其在（n）-希尔伯特空间中的对偶，然后讨论了它们的一些性质。此外，我们还研究了在（n）-希尔伯特空间的张量积中的受控框架，并建立了受控框架和在（n）-希尔伯特空间的张量积中的有界线性算子之间的关系。最后，我们考虑了在（n）-希尔伯特空间中受控框架的直接和。

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Controlled Frames in n-Hilbert Spaces and Their Tensor Products

Abstract

The concepts of controlled frame and it’s dual in \(n\)-Hilbert space have been introduced and then some of their properties are going to be discussed. Also, we study controlled frame in tensor product of \(n\)-Hilbert spaces and establish a relationship between controlled frame and bounded linear operator in tensor product of \(n\)-Hilbert spaces. At the end, we consider the direct sum of controlled frames in \(n\)-Hilbert space.

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来源期刊

Russian Mathematics MATHEMATICS-

CiteScore

0.90

自引率

25.00%

发文量

期刊介绍： Russian Mathematics is a peer reviewed periodical that encompasses the most significant research in both pure and applied mathematics.