期刊论文详细信息
Proceedings Mathematical Sciences | |
Frames and Bases in Tensor Products of Hilbert Spaces and Hilbert ð¶*-Modules | |
Amir Khosravi1  Behrooz Khosravi2  | |
[1] Faculty of Mathematical Sciences and Computer Engineering, University for Teacher Education, Taleghani Ave., Tehran , Iran$$;Department of Pure Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), , Hafez Ave., Tehran , Iran$$ | |
关键词: Frame; frame operator; tensor product; Hilbert ð¶*-module.; | |
DOI : | |
学科分类:数学(综合) | |
来源: Indian Academy of Sciences | |
【 摘 要 】
In this article, we study tensor product of Hilbert ð¶*-modules and Hilbert spaces. We show that if ð¸ is a Hilbert ð´-module and ð¹ is a Hilbert ðµ-module, then tensor product of frames (orthonormal bases) for ð¸ and ð¹ produce frames (orthonormal bases) for Hilbert $A otimes B$-module $E otimes F$, and we get more results.For Hilbert spaces ð» and ð¾, we study tensor product of frames of subspaces for ð» and ð¾, tensor product of resolutions of the identities of ð» and ð¾, and tensor product of frame representations for ð» and ð¾.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912040506758ZK.pdf | 212KB | download |