Open Access
Original Articles
Frame Operator and Hilbert-Schmidt Operator in Tensor Product of Hilbert Spaces
G. Upender Reddyupendergujjula@yahoo.co.inDepartment of MathematicsAurora’s Technological And Research InstituteUppal, HyderabadView full profile → , N. Gopal ReddyDepartment of MathematicsHyderabad and Lalitha P.G. College VenkatapurOsmania UniversityHyderabadView full profile → , B. Krishna ReddyDepartment of mathematicsUniversity college of engineeringOsmania University, HyderabadView full profile →
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- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2009.10698563
- Pages:
- 61–70
Abstract
The tensor product of frames in Hilbert spaces is introduced. It was shown that the tensor product of two frames is a frame for the tensor product of Hilbert spaces. The concept of tensor frame operator on tensor product of Hilbert space is given and results of it are presented. Inequalities between tensor product of frames and the Hilbert-Schmidt operators are established.
Keywords
References
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