Titlebook: Contributions to Operator Theory and its Applications; The Tsuyoshi Ando An T. Furuta,I. Gohberg,T. Nakazi Book 1993 Springer Basel AG 1993

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多产子

Vascular Growth Factors and AngiogenesisLet . be an operator on a separable Hubert space. We show that if . is a compact operator and satisfies ∣T.∣ = ∣.∣. for some n, then . is normal, and that if . is a bounded operator and satisfies ∣T.∣ = ∣.∣. for . =.,. + 1, .,. + 1 (1 ≤ . <., then the polar decomposition of . is commutative. For a closed operator we obtain the analogous results.

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On Certain (Nearly) Convex Joint Numerical Ranges,Let . be a complex Hilbert space with scalar product denoted (··), and let .(.) denote the algebra of bounded linear operators on .. For a family r = {..: . ∈ .} ⊂ .(.) one defines the joint numerical range .(τ) by

hegemony

进步

State Space Formulas for Coprime Factorizations,In this paper we will give a uniform approach to the derivation of state space formulas of coprime factorizations, of different types, for rational matrix functions.

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Generalization of Heinz-Kato Theorem Via Furuta Inequality,A capital letter means a bounded linear operator on a complex Hilbert space .. An operator . is said to be positive if (., .) ≥ 0 for all . ∈..

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The Band Method for Bordered Algebras,The band method for positive definite extension problems of non-band type is specified for the bordered case. A fractional type description of all positive extensions is new. We illustrate the result for Fredholm integral operators. The notion of Schur complement plays a crucial role.

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,,-Distance between Unitary Orbits in Type III, Factors,Let . bea factor of type III.*, 0 < λ < 1, and , 1 ≤ . ≤ ∞, the discrete Haagerup ..spaces. We obtain the ..-distance formula between the unitary orbits of selfadjoint elements in in terms of their generalized .-numbers, and determine the diameter of the quotient space (or the closed unitary orbit space) of the positive unit sphere of ..(.).

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