The Journal of the Indian Mathematical Society

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On a Conjecture of Istratescu


Affiliations
1 Department of Mathematics, Gujarat University, Ahmedabad 9, India
     

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An operator T is a bounded linear transformation defined on a Hilbert space H. We will denote the spectrum of an operator T by σ(T) and its convex hull by conv σ(T). The numerical range of an operator T, denoted by W(T), is the set W(T) = {(Tx, x)/||x|| = 1}. We will denote the closure of W(T) by CIW(T).
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  • On a Conjecture of Istratescu

Abstract Views: 127  |  PDF Views: 0

Authors

I. H. Sheth
Department of Mathematics, Gujarat University, Ahmedabad 9, India

Abstract


An operator T is a bounded linear transformation defined on a Hilbert space H. We will denote the spectrum of an operator T by σ(T) and its convex hull by conv σ(T). The numerical range of an operator T, denoted by W(T), is the set W(T) = {(Tx, x)/||x|| = 1}. We will denote the closure of W(T) by CIW(T).