State Space of Matrix Algebra

Deng Shenghua. State Space of Matrix Algebra[J]. Journal of University of Electronic Science and Technology of China, 2003, 32(6): 775-778.

Citation:

Deng Shenghua. State Space of Matrix Algebra[J]. Journal of University of Electronic Science and Technology of China, 2003, 32(6): 775-778.

Citation:

Deng Shenghua. State Space of Matrix Algebra[J]. Journal of University of Electronic Science and Technology of China, 2003, 32(6): 775-778.

Abstract

In this paper, the maximal regular ideal of Matrix Algebra was formed. And using the relation of pure state and maximal regular ideal of C*-algebra, the pure state of Matrix Algebra was formed because the Matrix Algebra is a C*-algebra. so the structure of state space and dual space of Matrix Algebra was formed.And using the relation of dual space and state space of C*-algebra, the dual space of Matrix Algebra was formeal.

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