Analytic equivalence and similarity of operators

2002 ◽  
Vol 44 (4) ◽  
pp. 480-493 ◽  
Author(s):  
Beno�t Pruvost
Keyword(s):  
Similarity Of Operators

scholarly journals Similarity of operators and geometry of eigenvector bundles

2009 ◽  
Vol 53 ◽  
pp. 417-438 ◽  
Author(s):  
H.-K. Kwon ◽  
S. Treil
Keyword(s):  
Similarity Of Operators

Similarity of operators

1973 ◽  
Vol 13 (4) ◽  
pp. 604-615 ◽  
Author(s):  
L. A. Sakhnovich
Keyword(s):  
Similarity Of Operators

Similarity of operators associated with the Volterra relation

2008 ◽  
Vol 78 (2) ◽  
pp. 285-292 ◽  
Author(s):  
Shmuel Kantorovitz
Keyword(s):  
Similarity Of Operators

scholarly journals Proximity and similarity of operators II

1990 ◽  
Vol 32 (2) ◽  
pp. 205-213
Author(s):  
Charles Burnap ◽  
Alan Lambert
Keyword(s):  
Hilbert Space ◽  
Metric Space ◽  
Complete Metric Space ◽  
Necessary Condition ◽  
Connected Component ◽  
Bounded Operators ◽  
The Subject ◽  
Similarity Of Operators ◽  
Unitary Orbit ◽  
Uniformly Continuous

In this paper we continue the examination of the question of similarity of operators A and B begun in reference [3]. In that article, a similarity result was obtained based on a measure of closeness, or proximity, of the uniformly continuous semigroups etA and etB, t>0. The operators considered were elements of ℬ(ℋ), the algebra of bounded operators on a Hilbert space ℬWe now wish to relax this requirement and replace ℬ(ℋ) by a complex Banach algebra ℬ with unit I. In Section 2 we give a necessary condition for the similarity of A, B ∈ ℋ. We then give a condition sufficient to guarantee A and B are approximately similar (as defined in reference [5]). In Section 3 we restrict our attention to the case where ℋ = ℋ(ℋ). There we give a condition which guarantees A, B ∈ ℋ(ℋ) are intertwined by a Fredholm operator. This leads naturally into a discussion of proximity-similarity in the Calkin algebra si. This is the subject of Section 4. Following reference [7] we define a metric p on N(ℋ), the normal elements of ℋ We show (N(ℋ), p) is a complete metric space and that the unitary orbit of ℋ (N(ℋ) p)is the p-connected component of a in N (ℋ).

scholarly journals On similarity of operators to isometries.

1992 ◽  
Vol 39 (3) ◽  
pp. 385-393 ◽  
Author(s):  
Gelu Popescu
Keyword(s):  
Similarity Of Operators

scholarly journals On similarity of operators

1973 ◽  
Vol 10 (3) ◽  
pp. 395-400
Author(s):  
Ky Fan
Keyword(s):  
Similarity Of Operators

A theorem about similarity of operators

1963 ◽  
Vol 14 (1) ◽  
pp. 411-414 ◽  
Author(s):  
Svetozar Kurepa
Keyword(s):  
Similarity Of Operators
Sign in / Sign up

Export Citation Format

Share Document