Small eigenvalue variation and real rank zero (Q1816502)
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scientific article; zbMATH DE number 950177
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Small eigenvalue variation and real rank zero |
scientific article; zbMATH DE number 950177 |
Statements
Small eigenvalue variation and real rank zero (English)
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15 June 1997
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A necessary and sufficient condition, in terms of asymptotic properties of the sequence, is given for the inductive limit of a sequence of finite direct sums of matrix algebras over commutative \(C^*\)-algebras to have real rank zero (i.e., for each selfadjoint element to be approximable by one with finite spectrum).
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asymptotic properties
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inductive limit of a sequence of finite direct sums of matrix algebras over commutative \(C^*\)-algebras
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real rank zero
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