Titlebook: Topics in Operator Theory; Constantin Apostol M I. Gohberg (Raymond and Beverly Sackler Faculty of Book 1988 Springer Basel AG 1988 analysi

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opportune

https://doi.org/10.1007/978-3-0348-5475-7analysis; mathematics; operator algebra; operator theory; perturbation

微尘

Fredholm Properties of Band Matrices and Dichotomy,The invertibility and Fredholm properties of a regular block band matrix are described in terms of the dichotomy of the companion sequence.

prick-test

Extreme Points in the Set of Contractive Intertwining Dilations,The following result is well known (cf. [5]): a function f in the unit ball of H. is an extreme point if and only if..

DAMN

,Spectral Capacities in Quotient Fréchet Spaces,The definition of a spectral capacity has been proved to be a fruitful one in the theory of spectral decompositions of linear operators. Most of its standard properties still hold in the context of quotient Fréchet spaces.

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A Note on Quasidiagonal Operators,Let . be a separable complex Hilbert space of infinite dimension and let .(.) and .(.) denote the bounded and respectively the compact operators on .. An operator T ∈ .(.) is called quasidiagonal ([5]) if T = D+K where K ∈ .(.) and D is block-diagonal, i.e. D = D. ⊕ D. ⊕ ... for some decomposition . = .. ⊕ .. ⊕ ... where dim .. < ∞ (j = 1,2, ...).

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In Memory of Constantin Apostol,was raised by his mother, in poverty conditions bordering hunger, in a Romania ravaged by the war. In spite of the material difficulties, his mother gave him a strict education; the best she could afford. He was a gifted child, with a passion for reading, especially Geography, History, travels, novels.

大量杀死

On a Spectral Equivalence of Operators,alytic functions whose domains of definition contain an open set G ⊂ .. As in [9] we shall say that F. and F. are equivalent on G if.for some analytic functions A, B, defined in G, whose values are invertible operators.

捏造

A Note on the Algebra Generated by a Subnormal Operator,f on A can be represented as.where x and y are vectors in H and (·,·) denotes the scalar product in H. We say that A has property (/A.(r)) if, in addition, given s>r and f, we can choose x and y satisfying (1) and..

成绩上升

Extreme Points in Quotients of Operator Algebras,that the answer depends on the structure of the nest involved. For nests with order type of the extended integers and finite dimensional atoms, we completely characterize the extreme points and show that the closed convex hull of these is not all of ...