FRECHET DIFFERENTIABILITY OF THE NORM OF Lp-SPACES ASSOCIATED WITH ARBITRARY VON NEUMANN ALGEBRAS

被引：1

作者：

Potapov, D. ^{[1
]}

Sukochev, F. ^{[1
]}

Tomskova, A. ^{[1
]}

Zanin, D. ^{[1
]}

机构：

[1] Univ New South Wales, Sch Math & Stat, Kensington, NSW 2052, Australia

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 371卷 / 11期

关键词：

OPERATOR INTEGRALS; UNIFORM CONVEXITY; SPECTRAL SHIFT;

D O I：

10.1090/tran/7215

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M be a von Neumann algebra, and let (L-p(M), parallel to center dot parallel to(p)), 1 <= p < infinity be the Haagerup L-p-space on M. We prove that the differentiability properties of parallel to center dot parallel to(p) are precisely the same as those of classical (commutative) L-p-spaces. Our main instruments are the theories of multiple operator integrals and singular traces.

引用

页码：7493 / 7532

页数：40

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