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Convexity and monotonicity of certain maps involving hadamard products and bochner integrals for continuous fields of operators
Author(s)
Date Issued
October 30, 2019
Type
Article
Abstract
We investigate the convexity and the monotonicity of certain maps involving Hadamard products and Bochner integrals for continuous fields of Hilbert space operators. Their special cases and consequences are then discussed. In particular, we obtain certain arithmetic mean-harmonic mean, Jensen, and Fiedler type inequalities.
Citation
Journal of Computational Analysis and Applications, 27(5), 864-873, 2019