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Start Over Topic mathematics Journal proceedings of the american mathematical society Publisher proceedings of the american mathematical society
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1. Complete orthogonal decomposition homomorphisms between matrix ordered Hilbert spaces

Author

Yasuhide Miura and Kiminao Nishiyama

Subjects
Discrete mathematics, Pure mathematics, matrix ordered Hilbert space, Applied Mathematics, General Mathematics, Hilbert space, Hilbert matrix, Matrix decomposition, symbols.namesake, Matrix (mathematics), Standard form of von Neumann algebra, Singular value decomposition, symbols, Symmetric matrix, orthogonal decomposition homomorphism, Orthogonal matrix, Abelian von Neumann algebra, completely positive map, Mathematics
Abstract

The purpose of this paper is to show that a complete order homomorphism and a complete orthogonal decomposition homomorphism between the non-commutative L 2 L^{2} -spaces induce respectively an isomorphism and a ∗ * -isomorphism between the associated reduced von Neumann algebras.

Published
2001