On a Conjecture of Istratescu
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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).Downloads
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Published
1974-12-01
How to Cite
Sheth, I. H. (1974). On a Conjecture of Istratescu. The Journal of the Indian Mathematical Society, 38(1-4), 337–338. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/16708
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Copyright (c) 1974 I. H. Sheth
This work is licensed under a Creative Commons Attribution 4.0 International License.
References
S. HILDEBRANDT: Uber den numerischen Wertebereich eines Operators. Math. Ann. 163 (1966), 230-243.
V. ISTRATESCU: On a class of operators. Math. Z. 124 (1972) 199-203.
T. SAITO AND T. YOSHINO: On a conjecture of Berberian. Tbhoku Math. Journal, 17(1965) 147-149.