JournalsprimsVol. 43, No. 4pp. 1125–1137

Klyachko’s Theorem in Semi-finite von Neumann Algebras

  • Tetsuo Harada

    Fukuoka, Japan
Klyachko’s Theorem in Semi-finite von Neumann Algebras cover
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Abstract

Let A be a von Neumann algebra and A be the set of all τ-measurable operators. For positive elements A and B in A we prove that

∫_K_ µs (A + B) ds ≤ ∫_K_ µs (A) ds + ∫_K_ µs (B) ds,

where µ(·) denotes the generalized s-number and I, J, and K are on an analogue of the Klyachko list.

Cite this article

Tetsuo Harada, Klyachko’s Theorem in Semi-finite von Neumann Algebras. Publ. Res. Inst. Math. Sci. 43 (2007), no. 4, pp. 1125–1137

DOI 10.2977/PRIMS/1201012382