Multipliers and local spectral theory

Kjeld Laursen

Displaying similar documents to “Multipliers and local spectral theory”

On the Gelfand-Hille theorems

Jaroslav Zemánek (1994)

Banach Center Publications

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Local spectrum and Kaplansky's theorem on algebraic operators

Driss Drissi (1998)

Colloquium Mathematicae

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Using elementary arguments we improve former results of P. Vrbová concerning local spectrum. As a consequence, we obtain a new proof of Kaplansky’s theorem on algebraic operators on a Banach space.

Local behaviour of operators

Vladimír Müller (1994)

Banach Center Publications

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Rotation methods in operator ergodic theory.

Berkson, Earl (2011)

The New York Journal of Mathematics [electronic only]

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A characterization of completely bounded multipliers of Fourier algebras

Paul Jolissaint (1992)

Colloquium Mathematicae

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On the differences of the consecutive powers of Banach algebra elements

Helmuth Rönnefarth (1997)

Banach Center Publications

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Let A denote a complex unital Banach algebra. We characterize properties such as boundedness, relative compactness, and convergence of the sequence ${x^{n} (x - 1)}_{n \in ℕ}$ for an arbitrary x ∈ A, using σ(x) and resolvent conditions. Under these circumstances, we investigate elements in the peripheral spectrum, and give further conclusions, also involving the behaviour of ${x^{n}}_{n \in ℕ}$ and ${1 / n \sum_{k = 0}^{n - 1} x^{k}}_{n \in ℕ}$ .

An approach to joint spectra

Angel Martínez Meléndez, Antoni Wawrzyńczyk (1999)

Annales Polonici Mathematici

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For a given unital Banach algebra A we describe joint spectra which satisfy the one-way spectral mapping property. Each spectrum of this class is uniquely determined by a family of linear subspaces of A called spectral subspaces. We introduce a topology in the space of all spectral subspaces of A and utilize it to the study of the properties of the spectra.

Weyl's theorem, a-Weyl's theorem and single-valued extension property.

Pietro Aiena, Carlos Carpintero (2005)

Extracta Mathematicae

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In this paper we investigate the relation of Weyl's theorem, of a-Weyl's theorem and the single valued extension property. In particular, we establish necessary and sufficient conditions for a Banch space operator T to satisfy Weyl's theorem or a-Weyl's theorem, in the case in which T, or its dual T*, has the single valued extension property. These results improve similar results obtained by Curto and Han, Djordjevic S. V., Duggal B. P., and Y. M. Han. The theory is exemplified in the...

$L^{p}$ -boundedness of oscillating spectral multipliers on Riemannian manifolds

Michel Marias (2003)

Annales mathématiques Blaise Pascal

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We prove endpoint estimates for operators given by oscillating spectral multipliers on Riemannian manifolds with $C^{\infty}$ -bounded geometry and nonnegative Ricci curvature.

Absence of eigenvalues for integro-differential operators with periodic coefficients.

Stanescu, Marius Marinel, Cialenco, Igor (2010)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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On the spectral properties of translation operators in one-dimensional tubes

Wojciech Hyb (1991)

Annales Polonici Mathematici

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We study the spectral properties of some group of unitary operators in the Hilbert space of square Lebesgue integrable holomorphic functions on a one-dimensional tube (see formula (1)). Applying the Genchev transform ([2], [5]) we prove that this group has continuous simple spectrum (Theorem 4) and that the projection-valued measure for this group has a very explicit form (Theorem 5).