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An operator inequality and its consequences

Article ID Journal Published Year Pages File Type
4599905 Linear Algebra and its Applications 2013 8 Pages PDF
Abstract

Let f be a continuous convex function on an interval J, let A, B, C, D be self-adjoint operators acting on a Hilbert space with spectra contained in J such that A + D = B + C   and A⩽m⩽B,C⩽M⩽DA⩽m⩽B,C⩽M⩽D for two real numbers m

Keywords
15A6047A6447A63Self-adjoint operatorConvex functionOperator inequalityPositive linear map
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
An operator inequality and its consequences
Authors
M.S. Moslehian, J. Mićić, M. Kian,
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Linear Algebra and its Applications
Journal: Linear Algebra and its Applications
Related Categories
15A60
47A64
47A63
Self-adjoint operator
Convex function
Operator inequality
Positive linear map
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