Titlebook: Operator Theory, Operator Algebras and Applications; M. Amélia Bastos,Amarino Lebre,Ilya M. Spitkovsky Conference proceedings 2014 Springe

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On the Dimension of the Kernel of a Singular Integral Operator with Shift,jector, . is an isometric shift operator and .(.) is a continuous matrix function. It is supposed that the shift has a finite set of fixed points and all the eigenvalues of the matrix .(.) at the fixed points, simultaneously belong either to the interior of the unit circle . or to its exterior. More

Junction

anarchist

On Spectral Subspaces and Inner Endomorphisms of Some Semigroup Crossed Products,morphisms for which there is a left inverse. The objective is to describe in general terms some of the relations between spectral subspaces for the canonical coaction on the crossed product and certain eigenspaces of a timeevolution on the crossed product. The present analysis is inspired by certain

LVAD360

Ut-Majorization on , and its Linear Preservers, triangular majorized by y (written as . ) if there exists an upper triangular row stochastic matrix R such that x = Ry. In the present paper, some properties of ut-majorization are investigated. Also, the structure of all linear functions . preserving (resp. strongly preserving) ut-majorization wit

homeostasis

,On a Question by M. Seidel and the Answer by D. Dragi?evi? et al.,hors of [1] give an affirmative answer in the context of concrete Banach algebras. The purpose of this short note is to show that this question . has an affirmative answer, with the meaning of “always” explained below.

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A Tour to Compact Type Operators and Sequences Related to the Finite Sections Projection,e positive half-axis and by the convolution operators with continuous generating function. This result, together with the similar classical result on the algebra generated by the operators of multiplication and the singular integral operator, is then used to prove that certain ideals of compact-like

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Gustatory

On a Question by Markus Seidel,dard technique. We prove that it is possible to arrive to this result using only strong-limit homomorphism and with considerable simplification of the standard identification procedure for the local algebras.

Malcontent

On the Dimension of the Kernel of a Singular Integral Operator with Shift,all the eigenvalues of the matrix .(.) at the fixed points, simultaneously belong either to the interior of the unit circle . or to its exterior. Moreover, we show that some of the obtained results can be used in the case of an operator with a general shift.