Majorizations for generalizeds-numbers in semifinite von Neumann algebras
β Scribed by Fumio Hiai; Yoshihiro Nakamura
- Publisher
- Springer-Verlag
- Year
- 1987
- Tongue
- French
- Weight
- 484 KB
- Volume
- 195
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
Let M be a factor with separable predual and G a compact group of automorphisms of M whose action is minimal, i.e., M G$ & M=C, where M G denotes the G-fixed point subalgebra. Then every intermediate von Neumann algebra M G /N/M has the form N=M H for some closed subgroup H of G. An extension of thi
In 1983 L. G. Brown introduced a spectral distribution measure for non-normal elements in a finite von Neumann algebra M with respect to a fixed normal faithful tracial state {. In this paper we compute Brown's spectral distribution measure in case T has a polar decomposition T=UH where U is a Haar
Suppose b 1 , ..., b n are self-adjoint elements in a finite von Neumann algebra M with trace { and define a map 9 from M to complex (n+1)-space by the formula 9(x)=({(x), {(b 1 x), ..., {(b n x)). Next let B denote the image of the positive unit ball of M under the map 9. B is called the spectral s