G-frames in tensor product of Hilbert spaces

Publish Year: 1399
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:

FMCBC02_008

تاریخ نمایه سازی: 15 مهر 1399

Abstract:

Frames in a Hilbert space are sequences that have basis-like properties but which need not be bases. It is shown that gframes are generalizations of frames. Tensor product is useful in the approximation of univariate ones. In this paper, we prove that tensor product of g-frames is a g-frame and also if they are tight, Riesz bases or orthonormal, then so is theirtensor product.

Authors

Sedigheh Hosseini

Department of Mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran