On class operators and quasisimilarity.
On Commuting Families Of Subnormal Operatores
On commuting isometries
On complex interpolation and spectral continuity
Let , 0 ≤ t ≤ 1, be Banach spaces obtained via complex interpolation. With suitable hypotheses, linear operators T that act boundedly on both and will act boundedly on each . Let denote such an operator when considered on , and denote its spectrum. We are motivated by the question of whether or not the map is continuous on (0,1); this question remains open. In this paper, we study continuity of two related maps: (polynomially convex hull) and (boundary of the polynomially convex...
On concentrated probabilities
Let G be a locally compact Polish group with an invariant metric. We provide sufficient and necessary conditions for the existence of a compact set A ⊆ G and a sequence such that for all n. It is noticed that such measures μ form a meager subset of all probabilities on G in the weak measure topology. If for some k the convolution power has nontrivial absolutely continuous component then a similar characterization is obtained for any locally compact, σ-compact, unimodular, Hausdorff topological...
On Connection between Characterestic Functions and the Caratheodori Class Functions
2000 Mathematics Subject Classification: 47A65, 45S78.Connection of characteristic functions S(z) of nonunitary operator T with the functions of Caratheodori class is established. It was demonstrated that the representing measures from integral representation of the function of Caratheodori's class are defined by restrictions of spectral measures of unitary dilation, of a restricted operator T on the corresponding defect subspaces.
On continuity of linear transformations commuting with generalized scalar operators (Preliminary communication)
On continuity of linear transformations commuting with generalized scalar operators in Banach space
On contractions in
On contradictions of normed vector spaces
On convergence of iterates of the Frobenius-Perron operator for expanding mappings
On coupling constant thresholds and related eigenvalue properties of Dirac operators.
On Cusp Forms in Character Varieties.
On where has infinitely many “bumps”
On Davis-Kahan-weinberger Extension Theorem
On decomposably regular operators.
On decomposition of pairs of commuting isometries
A review of known decompositions of pairs of isometries is given. A new, finer decomposition and its properties are presented.
On Deddens΄s Theorem
On determination of eigenvalues and eigenvectors of selfadjoint operators
Two simple methods for approximate determination of eigenvalues and eigenvectors of linear self-adjoint operators are considered in the following two cases: (i) lower-upper bound of the spectrum of is an isolated point of ; (ii) (not necessarily an isolated point of with finite multiplicity) is an eigenvalue of .
On different products of closed operators.