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Operator inequalities associated withAlogAvia Specht ratio

Authors
Journal
Linear Algebra and its Applications
0024-3795
Publisher
Elsevier
Publication Date
Volume
375
Identifiers
DOI: 10.1016/s0024-3795(03)00651-7
Keywords
  • Kantorovich Inequality
  • Specht Ratio

Abstract

Abstract An operator means a bounded linear operator on a Hilbert space H. We obtained the basic property between Specht ratio S(1) and generalized Kantorovich constant K( p) in [Math. Inequal. Appl., in press], that is, Specht ratio S(1) can be expressed by generalized Kantorovich constant K( p): S(1)=e K ′(1) . We shall investigate several product type and difference type inequalities associated with Alog A by applying this basic property to several Kantorovich type inequalities.

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