Titlebook: Linear Operators in Function Spaces; 12th International C H. Helson,B. Sz.-Nagy,Gr. Arsene Book 1990 Birkhäuser Verlag Basel 1990 C*-algebr

consolidate

Large Analytic Functions,Let f be a complex summable function on the circle .. f is called . if these equivalent conditions hold: the Fourier coefficients . all vanish for n < 0; and there is a holomorphic function F in the open disc A satisfying . whose boundary function is f. The space H. is, ambiguously, the set of all such functions for F.

锯齿状

On the General Stable Rank for Pairs,Recent works of M.A. Rieffel ([4], [5]) on the so-called “cancellation” property for projective modules over C*-algebras give sufficient motivation to consider his theory of stable ranks as a fruitful instrument in the non-stable .-theory of C*—algebras.

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libertine

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Multicyclic Systems of Commuting Operators, of the monograph [2]). Roughly speaking, Herrero proved among other statements that n-multicyclic operators on an infinite dimensional (complex) Banach space X with the additional property that the set . has non-empty interior behave “almost” like the operator of multiplication with the independent

Arthr-

Regular J-Inner Matrix-Functions and Related Continuation Problems,blems stated in [1] and whose proofs can be found in [2]. They are supplemented, in Section 4, 5, with some results about the solutions of the continuation problem with maximal jump of the spectral function, which are obtained using a generalization of Carathéodory Theorem on holomorphic contractive

degradation

Noncommutative Uniform Algebras,lysis in the classical theory of functions. Nowadays, the theory of uniform algebras is an independent branch of analysis which has its own objects and methods of investigation. Beginning from 70’s some interest on noncommutative analogues of uniform algebras arose and a few generalizing results wer

geometrician

Operator Factorizations and Quasi-Similarity Orbits, the authors in [9]. Briefly stated, the factorization technique studies pairs of quasi-affinities (X,Y) whose product lies in the commutant of a given operator S, the . operator. In a manner described below, it is possible to use (X,Y) to generate, in a systematic way, families of . operators which

说笑

Multiplication Operators on Bergman Spaces are Reflexive,esults for many different classes of operators. For quite a while it seemed that the machinery developed by S. Brown to construct invariant subspaces needed Hilbert space techniques in an essential way. One of the first, who applied the ideas of S. Brown in a Banach space context, was C. Apostol [2]