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- W2118316201 abstract "In the first part we show that the decomposition of a bounded selfadjoint linear map from a ${C^ast }$-algebra into a given von Neumann algebra as a difference of two bounded positive linear maps is always possible if and only if that range algebra is a âstrictly finiteâ von Neumann algebra of type I. In the second part we define a âpolar decompositionâ for some bounded linear maps and show that polar decomposition is possible if and only if the map satisfies a certain ânorm condition. We combine the concepts of polar and positive decompositions to show that polar decomposition for a selfadjoint map is equivalent to a strict Hahn-Jordan decomposition (see Theorems 2.2.4 and 2.2.8)." @default.
- W2118316201 created "2016-06-24" @default.
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- W2118316201 date "1977-01-01" @default.
- W2118316201 modified "2023-09-25" @default.
- W2118316201 title "Decompositions of linear maps" @default.
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- W2118316201 doi "https://doi.org/10.1090/s0002-9947-1977-0442702-9" @default.
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