Some integral inequalities for operator monotonic functions on Hilbert spaces

Let f be an operator monotonic function on I and A, B∈I (H), the class of all selfadjoint operators with spectra in I. Assume that p : [0.1], →ℝ is non-decreasing on [0, 1]. In this paper we obtained, among others, that for A ≤ B and f an operator monotonic function on I,

Bibliographic Details
Main Author: Dragomir Silvestru Sever
Format: Article
Language:English
Published: De Gruyter 2020-07-01
Series:Special Matrices
Subjects:
Online Access:https://doi.org/10.1515/spma-2020-0108
Description
Summary:Let f be an operator monotonic function on I and A, B∈I (H), the class of all selfadjoint operators with spectra in I. Assume that p : [0.1], →ℝ is non-decreasing on [0, 1]. In this paper we obtained, among others, that for A ≤ B and f an operator monotonic function on I,
ISSN:2300-7451