The Furuta Inequality and an Operator Equation for Linear Operators

  • Chia-Shiang Lin

    Bishop’s University, Lennoxville (Quebec), Canada

Abstract

We show that a special form of the Futura inequality is equivalent to an operator equation . This result also generalizes Lemma 1 in [3] which is about the operator equation . A new characterization of the Löwner–Heinz formula and some applications are given.

Cite this article

Chia-Shiang Lin, The Furuta Inequality and an Operator Equation for Linear Operators. Publ. Res. Inst. Math. Sci. 35 (1999), no. 2, pp. 309–313

DOI 10.2977/PRIMS/1195143954