Titlebook: Nonselfadjoint Operator Algebras, Operator Theory, and Related Topics; The Carl M. Pearcy A Hari Bercovici,Ciprian I. Foias Book 1998 Sprin

NICHE

針葉

Some Multplicities for Contractions with Hilbert-Schmidt Defect,r of multiplicity measures coincide. These include some involving dual operator algebra class, the size of a zero operator dilated, and the multiplicity of the unitary piece of the minimal coisometric extension. The main ingredient in these results, and another equivalent multiplicity measure, is th

公豬

output

,,Multipliers and Nested Sigma-Algebras,p. We shall explore the relationship between a sigma algebra B ?.F and the set of multiplication operators which map ..., B, . into ...,.., .. (All vector spaces encountered are with respect to the scalar field ?.) These operators are closely related to averaging operators on order ideals in Banach

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induct

The Canonical Complex Structure of Flag Manifolds in a ,*-algebra,nifold—from a differential geometric point of view. It is proved that a flag manifold has a natural intrinsic complex structure. Some properties of this structure are examined and a generalization of the well-known Gram-Schmidt construction is considered.

支形吊燈

An Algebraic Characterization of Boundary Representations,etermine Hilbert modules that are simultaneously orthogonally projective and orthogonally injective. As a corollary, we conclude that if an operator algebra is an admissable subalgebra of its .. —envelope, in the sense of Arveson, then it has a completely isometric representation such that the assoc

有發(fā)明天才

Joint Spectrum and Nonisometric Functional Calculus,tuation, there exists a contraction . that commutes with ., and such that the joint (Taylor) spectrum of the pair (., .) contains the two-dimensional torus, but the functional calculus generated by the pair has a nontrivial kernel. This improves a result in [12].

heterogeneous

On Isometric Intertwining Liftings,d on describing the properties of distinguished liftings; as interesting cases, let us note the central lifting([14], [8]), or the liftings which correspond in engineering applications to rational realizations([18]).

GRAZE

,A Good Side to Non—Reflexive Transformations,alg lat a when a is locally algebraic..Applications include a unified approach to earlier reflexivity results and an explanation of the phenomenon that among locally nilpotent transformations, it is the . ones which always admit reasonable Jordan canonical forms.