Titlebook: Recent Advances in Operator Theory and Related Topics; The Béla Sz?kefalvi- László Kérchy,I. Gohberg,H. Langer Conference proceedings 2001

GLEAN

Ultraproducts of C*-algebras,alog for C*-ultrapowers of separable C*-algebras is equivalent to the continuum hypothesis. We also prove a finite local reflexivity theorem for operator spaces that implies that the second dual of a C*-algebra can be embedded in some ultra-power of the algebra using a completely positive completely isometric map.

OVER

,Scalar perturbations of the Sz.-Nagy—Foias characteristic function,ive representations of the M?bius group. These formulae lead to an explicit description of the Sz.-Nagy—Foias models of these weighted shifts. Combining our main results with an analytic continuation argument, we find a three-parameter family of homogeneous operators.

落葉劑

On the class of extremal extensions of a nonnegative operator,construction of all extremal extensions of a nonnegative densely defined operator will be presented.It employs a fixed auxiliary Hilbert space to factorize each extremal extension.Various functional-analytic interpretations of extremal extensions are studied and some new types of characterizations a

obscurity

食草

沉默

OGLE

Analytic extension of vector valued functions,he analyticity of the compositions of . with all functionals belonging to a closed linear subspace.F of the dual of ., which determines the norm of .. Thus, roughly speaking, scalar analyticity implies vector valued analyticity.

壓碎

On the structure of spherical contractions,ly if it possesses an analytic invariant subspace, or if and only if, there is a compression of . to a semi-invariant subspace which is of type . and possesses dominating Harte spectrum in the unit ball. If any of these conditions holds, then . is proved to be reflexive. As a byproduct we obtain tha

健壯

,Wielandt type extensions of the Heinz—Kato—Furuta inequality,onal pair . and y. In this paper, we show Wielandt type extensions of the Heinz-Kato-Furuta inequality, which is based on some generalizations of the Wielandt inequality by Fujii-Katayama-Nakamoto and Bauer-Householder. The obtained inequalities are simultaneous extensions of the Heinz-Kato-Furuta a

受辱

On the generalized von Neumann inequality,nn inequality for a special class of commuting multi-contractions ...... on . and for any polynomial . of . independent complex variables, such that the coefficients of p are operators on . that doubly commute with each .., .. This is made by means of a construction of a kind of partially doubly com