Spectral properties for matrix algebras (Q485234)
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scientific article; zbMATH DE number 6384974
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral properties for matrix algebras |
scientific article; zbMATH DE number 6384974 |
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Spectral properties for matrix algebras (English)
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9 January 2015
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The authors consider invertibility questions for Banach algebras of infinite matrices defined in terms of a weight measuring the off-diagonal decay of the matrix entries. They consider a condition on sequences of weights which extends the notion of Gelfand-Raikov-Shilov (GRS) condition, and which also includes the special case considered by \textit{S. Jaffard} [Ann. Inst. Henri Poincaré, Anal. Non Linéaire 7, No. 5, 461--476 (1990; Zbl 0722.15004)]. Finally, they consider the behavior of inverses of pseudo-differential operators whose Weyl symbols belong to weighted modulation spaces with weights not satisfying the GRS condition.
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off-diagonal decay of matrices
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inverse closedness
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spectral invariance
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pseudo-differential operators
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modulation spaces
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Banach algebra
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infinite matrix
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Gelfand-Raikov-Shilov condition
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