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Mattila, Kirsti

Complex strict and uniform convexity and hyponormal operators. (English) Zbl 0558.47020

Math. Proc. Camb. Philos. Soc. 96, 483-493 (1984).
A report of this paper [Rep., Dept. Math., Univ. Stockholm 15 (1983)] was reviewed in Zbl 0516.47014. One of the main results in the report was that the trace class is uniformly c-convex. In the present paper the proof of this theorem is improved by improving the preceding inequality for trace class operators. In addition some smaller changes have been made in the report. A more general result of U. Haagerup on the convexity of the dual space of a \(C^*\)-algebra has appeared in the paper of W. J. Davis, D. J. H. Garling and N. Tomczak-Jaegermann [J. Funct. Anal. 55, 110-150 (1984)].

Cited in 11 Documents

MSC:

47B20 Subnormal operators, hyponormal operators, etc.
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
47L07 Convex sets and cones of operators
47B47 Commutators, derivations, elementary operators, etc.
47A12 Numerical range, numerical radius

Keywords:

numerical range; hyponormal; trace class is uniformly c-convex

Citations:

Zbl 0516.47014
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\textit{K. Mattila}, Math. Proc. Camb. Philos. Soc. 96, 483--493 (1984; Zbl 0558.47020)
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References:

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