A maximum problem for operators
A note on extreme contractions on -spaces
A potential operator and some ergodic properties of a positive contraction
A Szegö type property for two doubly commuting contractions
An application of the nonselfadjoint operators theory in the study of stochastic processes.
Analytic formulas for the hyperbolic distance between two contractions
In this paper we give some analytic formulas for the hyperbolic (Harnack) distance between two contractions which permit concrete computations in several situations, including the finite-dimensional case. The main consequence of these formulas is the proof of the Schwarz-Pick Lemma. It modifies those given in [13] by the avoidance of a general Schur type formula for contractive analytic functions, more exactly by reducing the case to the more manageable situation when the function takes as values...
Asymptotically cyclic quasianalytic contractions
The study of quasianalytic contractions, motivated by the hyperinvariant subspace problem, is continued. Special emphasis is put on the case when the contraction is asymptotically cyclic. New properties of the functional commutant are explored. Analytic contractions and bilateral weighted shifts are discussed as illuminating examples.
-Scalar operators on cyclic spaces
Characteristic operator functions on Wachs spaces.
Commuting Nonselfadjoint Operators and their Characteristic Operator-Functions
* Partially supported by Grant MM-428/94 of MESC.In this paper we present some generalizations of results of M. S. Livšic [4,6], concerning regular colligations (A1, A2, H, Φ, E, σ1, σ2, γ, ˜γ) (σ1 > 0) of a pair of commuting nonselfadjoint operators A1, A2 with finite dimensional imaginary parts, their complete characteristic functions and a class Ω(σ1, σ2) of operator-functions W(x1, x2, z): E → E in the case of an inner function W(1, 0, z) of the class Ω(σ1). ...
Constants Related to Operators of Class Cp.
Contractions similar to isometries
Contractive couplings
Contributions à l'étude spectrale des contractions de l'espace de Hilbert
Decompositions of tensor products of contractions
Definition Theory and Systems of Simultaneous Equations in the Perdual of an Operator Algebra. II.
Dilations of Hilbert space operators (General theory) [Book]
Ein Zerlegungssatz für Resolventen elliptischer Operatoren.
Ergodic Measure Preserving Transformations with Arbitrary Finite Spectral Multiplicities.
Extensions, dilations and functional models of infinite Jacobi matrix
A space of boundary values is constructed for the minimal symmetric operator generated by an infinite Jacobi matrix in the limit-circle case. A description of all maximal dissipative, accretive and selfadjoint extensions of such a symmetric operator is given in terms of boundary conditions at infinity. We construct a selfadjoint dilation of maximal dissipative operator and its incoming and outgoing spectral representations, which makes it possible to determine the scattering matrix of dilation....