Invertibility symbol for a Banach algebra generated by two idempotents and a shift |
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| Authors: | Naum Krupnik Efim Spigel |
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| Institution: | (1) Department of Mathematics and Computer Science, Bar-Ilan University, 52 900 Ramat-Gan, Israel;(2) Department of Mathematics, Technological Institute, 58102 Holon, Israel |
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| Abstract: | A Banach algebra generated by two idempotentsp, r, identitye and a shiftv which satisfy the conditionspv=vp andrv=v(e–r) is investigated. It is proved that all irreducible representations of algebraA are two- and four-dimensional. The explicit form of these representations is obtained. An Invertibility Symbol is constructed. Some examples are considered. |
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| Keywords: | Primary 47D30 Secondary 45E05 |
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