Inclusion relations involving k-numerical ranges (Q1239208)
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scientific article; zbMATH DE number 3557945
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inclusion relations involving k-numerical ranges |
scientific article; zbMATH DE number 3557945 |
Statements
Inclusion relations involving k-numerical ranges (English)
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1976
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Let \(W_k(A)\) denote the \(k\)-numerical range of an \(n \times n\) matrix \(A\). It is known that \(W_1 (A)\subset W_j (A)\) for \(1\leq j\leq i\leq n\). In this paper we derive more general inclusion relations of the form \(\sum_i^n\lambda_1W_1(A)\subset\sum_i^n\mu_iW_i(A)\), where \(\lambda_i,\mu_i\) are real coefficients.
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