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arXiv · 1508.05442

Operator $k$-tone functions and analytic functional calculus

Fumio Hiai
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Abstract

Operator $k$-tone functions on an open interval of the real line, which are higher order extensions of operator monotone and convex functions, are characterized via certain inequalities for the real and imaginary parts of analytic functional calculus by those functions.

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Fumio Hiai. 2015-08-22. Operator $k$-tone functions and analytic functional calculus. https://arxiv.org/abs/1508.05442

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