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- W2516950908 abstract "Let ${mathcal{B}}_{n}(unicode[STIX]{x1D6FA})$ be the set of Cowen–Douglas operators of index $n$ on a nonempty bounded connected open subset $unicode[STIX]{x1D6FA}$ of $mathbb{C}$ . We consider the strong irreducibility of a class of Cowen–Douglas operators ${mathcal{F}}{mathcal{B}}_{n}(unicode[STIX]{x1D6FA})$ on Banach spaces. We show ${mathcal{F}}{mathcal{B}}_{n}(unicode[STIX]{x1D6FA})subseteq {mathcal{B}}_{n}(unicode[STIX]{x1D6FA})$ and give some conditions under which an operator $Tin {mathcal{F}}{mathcal{B}}_{n}(unicode[STIX]{x1D6FA})$ is strongly irreducible. All these results generalise similar results on Hilbert spaces." @default.
- W2516950908 created "2016-09-16" @default.
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- W2516950908 date "2016-08-16" @default.
- W2516950908 modified "2023-09-27" @default.
- W2516950908 title "THE STRONG IRREDUCIBILITY OF A CLASS OF COWEN–DOUGLAS OPERATORS ON BANACH SPACES" @default.
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- W2516950908 doi "https://doi.org/10.1017/s0004972716000460" @default.
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