IRATE
发表于 2025-3-30 12:17:13
Block Shift Operatorsmplest infinite dimensional operators, and they may serve as building blocks for more complicated operators. In the first section block forward shifts are identified as pure isometries. In the second section it is shown that block backward shifts provide universal models for arbitrary operators. The
Excitotoxin
发表于 2025-3-30 15:04:49
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独行者
发表于 2025-3-30 17:09:37
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indemnify
发表于 2025-3-30 23:21:31
General Theoryur of the spectrum when the algebra is embedded isometrically into a larger Banach algebra. Also in this chapter we introduce a number of examples which will be used throughout this part to illustrate the general theory. Factorization of elements close to the identity is treated in the last section.
FEMUR
发表于 2025-3-31 04:22:43
Commutative Banach Algebrashe results are illustrated by various examples. In particular, it is explained in detail how under the Gelfand transformation piecewise continuous functions become continuous. Special attention is paid to finitely generated commutative Banach algebras and to the Banach algebra generated by a compact
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发表于 2025-3-31 07:07:18
Banach Algebras Generated by Toeplitz Operatorstudied. These algebras are not commutative, but they contain the compact operators as a proper closed ideal and in the scalar case the corresponding quotient algebras turn out to be commutative. The Gelfand spectra and transforms of these quotient algebras are described and analyzed.