Inductive limit of operators and its applications
J. Janas (1988)
Studia Mathematica
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J. Janas (1988)
Studia Mathematica
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M. Gil (1992)
Studia Mathematica
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Let A be a closed linear operator acting in a separable Hilbert space. Denote by co(A) the closed convex hull of the spectrum of A. An estimate for the norm of f(A) is obtained under the following conditions: f is a holomorphic function in a neighbourhood of co(A), and for some integer p the operator is Hilbert-Schmidt. The estimate improves one by I. Gelfand and G. Shilov.
Christoph Schmoeger, Gerd Herzog (1994)
Studia Mathematica
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Bruce Barnes (1993)
Studia Mathematica
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Let ℬ be a Banach algebra of bounded linear operators on a Banach space X. Let S be a closed linear operator in X, and let R be a linear operator in X. In this paper the spectral and Fredholm theory relative to ℬ of the perturbed operator S + R is developed. In particular, the situation where R is S-inessential relative to ℬ is studied. Several examples are given to illustrate the usefulness of these concepts.
Schmeelk, John, Takaci, Arpad (1992)
Portugaliae mathematica
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Ian Doust, Byron Walden (1996)
Studia Mathematica
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We prove that compact AC-operators have a representation as a combination of disjoint projections which mirrors that for compact normal operators. We also show that unlike arbitrary AC-operators, compact AC-operators admit a unique splitting into real and imaginary parts, and that these parts must necessarily be compact.
S. Kwapień (1968)
Studia Mathematica
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R. Jajte, A. Paszkiewicz (1978)
Studia Mathematica
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Harold Widom (1974)
Publications Mathématiques de l'IHÉS
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Vijay Gupta (1995)
Publicacions Matemàtiques
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In the present paper, we prove a global direct theorem for the modified Baskakov type operators in terms of so called Ditzian-Totik modulus of smoothness.