On a Conjecture of Istratescu

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Authors

  • Department of Mathematics, Gujarat University, Ahmedabad 9 ,IN

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).

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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://informaticsjournals.com/index.php/jims/article/view/16708

 

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.