Total decomposition and block numerical range (Q610030)
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scientific article; zbMATH DE number 5822502
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Total decomposition and block numerical range |
scientific article; zbMATH DE number 5822502 |
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Total decomposition and block numerical range (English)
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1 December 2010
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The notion of quadratic numerical range was introduced by \textit{H. Langer} and \textit{C. Tretter} [J. Oper. Theory 39, No.~2, 339--359 (1998; Zbl 0996.47006)] and the concept of block numerical range was considered several years later by \textit{C. Tretter} and \textit{M. Wagenhofer} [SIAM J. Matrix Anal. Appl. 24, No.~4, 1003--1017 (2003; Zbl 1051.47003)]. The aim of the present paper is to introduce the notion of total decomposition and to study its influence on the block numerical range.
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block numerical range
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total decomposition
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spectrum
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