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Displaying 741 – 760 of 1282

Spectral analysis for rank one perturbations of diagonal operators in non-archimedean Hilbert space

Toka Diagana, George D. McNeal (2009)

Commentationes Mathematicae Universitatis Carolinae

The paper is concerned with the spectral analysis for the class of linear operators $A = D_{λ} + X \otimes Y$ in non-archimedean Hilbert space, where $D_{λ}$ is a diagonal operator and $X \otimes Y$ is a rank one operator. The results of this paper turn out to be a generalization of those results obtained by Diarra.

Spectral analysis of a weighted shift operator with unbounded operator coefficients.

Baskakov, A.G., Pastukhov, A.I. (2001)

Sibirskij Matematicheskij Zhurnal

Spectral and boundedness radii in locally convex algebras.

El Kinani, A., Oubbi, L., Oudadess, M. (1998)

Georgian Mathematical Journal

Spectral and homological properties of Hilbert modules over the disc algebra

Raphaël Clouâtre (2014)

Studia Mathematica

We study general Hilbert modules over the disc algebra and exhibit necessary spectral conditions for the vanishing of certain associated extension groups. In particular, this sheds some light on the problem of identifying the projective Hilbert modules. Part of our work also addresses the classical derivation problem.

Spectral Calculus and Lipschitz Extension for Barycentric Metric Spaces

Manor Mendel, Assaf Naor (2013)

Analysis and Geometry in Metric Spaces

The metric Markov cotype of barycentric metric spaces is computed, yielding the first class of metric spaces that are not Banach spaces for which this bi-Lipschitz invariant is understood. It is shown that this leads to new nonlinear spectral calculus inequalities, as well as a unified framework for Lipschitz extension, including new Lipschitz extension results for CAT (0) targets. An example that elucidates the relation between metric Markov cotype and Rademacher cotype is analyzed, showing that...

Spectral characterization of two-sided ideals in Banach algebras

Jaroslav Zemánek (1980)

Studia Mathematica

Spectral characterization of two-sided ideals in Banach algebras

Arthur Lubin (1980)

Studia Mathematica

Spectral characterizations of central elements in Banach algebras

Matej Brešar, Peter Šemrl (1996)

Studia Mathematica

Let A be a complex unital Banach algebra. We characterize elements belonging to Γ(A), the set of elements central modulo the radical. Our result extends and unifies several known characterizations of elements in Γ(A).

Spectral Decompositions and Decomposable Multipliers.

Jörg Eschmeier (1985)

Manuscripta mathematica

Spectral densities describing off-white noises

Boris Tsirelson (2002)

Annales de l'I.H.P. Probabilités et statistiques

Spectral dilation of operator-valued measures and its application to infinite-dimensional harmonizable processes

A. Makagon, H. Salehi (1987)

Studia Mathematica

Spectral distances: results for Moyal plane and noncommutative torus.

Cagnache, Eric, Wallet, Jean-Christophe (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Spectral distribution of the free Jacobi process associated with one projection

Nizar Demni, Taoufik Hmidi (2014)

Colloquium Mathematicae

Given an orthogonal projection P and a free unitary Brownian motion $Y = {(Y ₜ)}_{t \geq 0}$ in a W*-non commutative probability space such that Y and P are *-free in Voiculescu’s sense, we study the spectral distribution νₜ of Jₜ = PYₜPYₜ*P in the compressed space. To this end, we focus on the spectral distribution μₜ of the unitary operator SYₜSYₜ*, S = 2P - 1, whose moments are related to those of Jₜ via a binomial-type expansion already obtained by Demni et al. [Indiana Univ. Math. J. 61 (2012)]. In this connection,...