T. L. Miller, Vivien G. Miller
Abstract
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Abstract A Banach space operator has property (δ) if and only if it is the quotient of a decomposable operator, equivalently, if and only if its adjoint has Bishop's property (β). Within this class of operators, it is shown that quasisimilarity preserves essential spectra.
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Abstract A Banach space operator has property (δ) if and only if it is the quotient of a decomposable operator, equivalently, if and only if its adjoint has Bishop's property (β). Within this class of operators, it is shown that quasisimilarity preserves essential spectra.
Key concepts: Mathematics, Property (philosophy), Quotient, Pure mathematics, Class (philosophy), Operator (biology), Banach space, Quasinormal operator