Operators near completely polynomially dominated ones and similarity problems

Details Operators near completely polynomially dominated ones and similarity problems Operators near completely polynomially dominated ones and similarity problems

2001-02-20

arxiv.org/abs/math/0102160v2

J. Operator Th. 49(2003), 3-23.

Mathematics

Functional Analysis

22 pages

Scientific paper

Let T and C be two Hilbert space operators. We prove that if T is near, in a certain sense, to an operator completely polynomially dominated with a finite bound by C, then T is similar to an operator which is completely polynomially dominated by the direct sum of C and a suitable weighted unilateral shift. Among the applications, a refined Banach space version of Rota similarity theorem is given and partial answers to a problem of K. Davidson and V. Paulsen are obtained. The latter problem concerns CAR-valued Foguel-Hankel operators which are generalizations of the operator considered by G. Pisier in his example of a polynomial bounded operator not similar to a contraction.

Affiliated with

Also associated with

No associations

Rating

Operators near completely polynomially dominated ones and similarity problems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Operators near completely polynomially dominated ones and similarity problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Operators near completely polynomially dominated ones and similarity problems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-593542