Frame Operator and Hilbert-Schmidt Operator in Tensor Product of Hilbert Spaces

DOI10.1080/1726037X.2009.10698563zbMath1182.41030MaRDI QIDQ3181901

N. Gopal Reddy, B. Krishna Reddy, G. Upender Reddy

Publication date: 12 October 2009

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

zbMATH Keywords

framestensor frame operator

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Nontrigonometric harmonic analysis (42C99)

Related Items (10)

Representations of frames via iterative actions of operators in tensor product spaces ⋮ Tensor product \(K\)-dual frames ⋮ Introduction of Frame in Tensor Product of $n$-Hilbert Spaces ⋮ Atomic systems in n-Hilbert spaces and their tensor products ⋮ Operator representations of K-frames: boundedness and stability ⋮ On the sum of K-frames in Hilbert spaces ⋮ Tensor product dual frames ⋮ Generalized Fusion Frame in A Tensor Product of Hilbert Space ⋮ Controlled g-fusion frame in Hilbert space ⋮ Controlled generalized fusion frame in the tensor product of Hilbert spaces

Cites Work

• Frames and bases in tensor products of Hilbert spaces and Hilbert \(C^*\)-modules
• A Hilbert algebra of Hilbert-Schmidt quadratic operators
• An introduction to frames and Riesz bases

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