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Fusion frame and its alternative dual in tensor product of Hilbert spaces

Prasenjit Ghosh, T. K. Samanta

Abstract

We study fusion frame in tensor product of Hilbert spaces and discuss some of its properties. The resolution of the identity operator on a tensor product of Hilbert spaces is being discussed. An alternative dual of a fusion frame in tensor product of Hilbert spaces is being presented.

Fusion frame and its alternative dual in tensor product of Hilbert spaces

Abstract

We study fusion frame in tensor product of Hilbert spaces and discuss some of its properties. The resolution of the identity operator on a tensor product of Hilbert spaces is being discussed. An alternative dual of a fusion frame in tensor product of Hilbert spaces is being presented.

Paper Structure

This paper contains 4 sections, 107 equations.

Table of Contents

  1. Introduction
  2. Preliminaries
  3. Fusion frame in tensor product of Hilbert spaces
  4. Alternative dual fusion frame in tensor product of Hilbert spaces

Theorems & Definitions (9)

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