Open AccessA Formula for the Numerical Range of Elementary Operators
Author(s) -
Mohamed Barraa
Publication year - 2014
Publication title -
isrn mathematical analysis
Language(s) - English
Resource type - Journals
eISSN - 2090-4665
pISSN - 2090-4657
DOI - 10.1155/2014/246301
Subject(s) - algorithm , computer science
Let be the algebra of bounded linear operators on a complex Hilbert space . For -tuples of elements of and , let denote the elementary operator on defined by . In this paper, we prove the following formula for the numerical range of : , where is the set of unitary operators.
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