Astigmatism 发表于 2025-3-23 10:32:49
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Unitary Systems and Characteristic Operator Functionsnput-output map or the associated transfer function. In the theory of characteristic operator functions the situation is different. Here the main operator ., which is a contraction, comes first and the characteristic operator function serves as a unitary invariant for ..Gorilla 发表于 2025-3-24 01:02:03
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https://doi.org/10.1007/b101825This chapter contains the Stone-Weierstrass theorem and the Gelfand-Naimark representation theorem for commutative Banach algebras with an involution. The latter theorem is used to derive the spectral theorem for a normal operator. The Gelfand-Naimark characterization of a .*-algebra as a closed *-subalgebra of operators is also presented.Spongy-Bone 发表于 2025-3-24 15:37:18
Additive Lower-Upper Triangular Decompositions of OperatorsThe decomposition.maybe viewed as the analogue of the additive lower-upper triangular decomposition of a square matrix. In this chapter we study such decomposition for general operators. We begin with the first generalization of the matrix case.Confound 发表于 2025-3-24 22:56:57
Block Toeplitz OperatorsThe first three sections of this chapter have an introductory character. Section 2 contains a short introduction to Laurent operators. In Section 3 the first properties of block Toeplitz operators are derived. Sections 4 and 5 develop the Fredholm theory of block Toeplitz operators defined by continuous functions.从属 发表于 2025-3-25 00:41:08
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