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J. of Inequal. & Appl., 1997, Vol. 1, pp. 327-334
(C) 1997 OPA (Overseas Publishers Association) Amsterdam B.V. Published in The Netherlands under license by Gordon and Breach Science Publishers Printed in Malaysia
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The Best Possibility of the Bound for the Kantrovich Inequality and Some Remarks M. TSUKADAa and SIN-El TAKAHASI b Department of Information Sciences, Toho University, Funabashi, Chiba 274, Japan b Department of Basic Technology, Applied Mathematics and Physics, Yamagata University, Yonezawa, Yamagata 992, Japan (Received November 1996) The necessary and sufficient condition for equality to be attaind in the Kantrovich inequality is given and applied to an inequality of normal operators on Hilbert spaces.
Keywords: Kantrovich inequality; Schwarz inequality; conditional expectation; normal operator.
