On left and right decomposably regular operators. (English) Zbl 1288.47017
The authors define left and right decomposably Fredholm operators as well as left and right decomposably regular operators. They generalize various properties of decomposably Fredholm operators and decomposably regular operators to their classes of maps. The results concern mainly connections and relations between respective sets of operators, their closures and interiors in the space of bounded linear maps. Analogous facts are proved for holomorphically left and right decomposably regular operators and for holomorphically left and right decomposably Fredholm operators.
Reviewer: Dorota Gabor (Toruń)
MSC:
| 47A53 | (Semi-) Fredholm operators; index theories |
| 47A05 | General (adjoints, conjugates, products, inverses, domains, ranges, etc.) |
Keywords:
bounded linear operator; decomposable operator; left (right) invertible operator; Banach spaces; generalized inverse; left decomposably regular operators; left decomposably Fredholm operators; topological interiorReferences:
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