On similarity and reducing subspaces of multiplication operator on Sobolev disk algebra
نویسندگان
چکیده
منابع مشابه
A Similarity Invariant and the Commutant of some Multiplication Operators on the Sobolev Disk Algebra
Let R D be the algebra generated in Sobolev space W22 D by the rational functions with poles outside the unit disk D. In this paper, we study the similarity invariant of the multiplication operators Mg in L R D , when g is univalent analytic on D or Mg is strongly irreducible. And the commutants of multiplication operators whose symbols are composite functions, univalent analytic functions, or ...
متن کاملRemarks on the Similarity Degree of an Operator Algebra
The " similarity " degree of a unital operator algebra A was defined and studied in two recent papers of ours, where in particular we showed that it coincides with the " length " of an operator algebra. This paper brings several complements: we give direct proofs (with slight improvements) of several known facts on the length which were only known via the degree, and we show that the length of ...
متن کاملThe Multiplication Operator in Sobolev Spaces with Respect to Measures
We consider the multiplication operator, M, in Sobolev spaces with respect to general measures and give a characterization for M to be bounded, in terms of sequentially dominated measures. This has important consequences for the asymptotic behaviour of Sobolev orthogonal polynomials. Also, we study properties of Sobolev spaces with respect to measures. 2001 Academic Press
متن کاملOn reducing and deflating subspaces of matrices
A multilinear approach based on Grassmann representatives and matrix compounds is presented for the identification of reducing pairs of subspaces that are common to two or more matrices. Similar methods are employed to characterize the deflating pairs of subspaces for a regular matrix pencil A+ sB, namely, pairs of subspaces (L,M) such that AL ⊆ M and BL ⊆ M.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2014
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2014.05.052