Perturbation of continuous spectra and unitary equivalence

1966 ◽  
pp. 514-565
Author(s):  
Tosio Kato
Keyword(s):  
Unitary Equivalence

scholarly journals Verification of Unitary Equivalence of Gauges in QED

1994 ◽  
Vol 92 (1) ◽  
pp. 265-279
Author(s):  
Y. Nakawaki ◽  
A. Tanaka ◽  
K. Ozaki
Keyword(s):  
Unitary Equivalence

scholarly journals Unitary Equivalence and Similarity to Jordan Models for Weak Contractions of Class C0

2015 ◽  
Vol 67 (1) ◽  
pp. 132-151
Author(s):  
Raphaël Clouâtre
Keyword(s):  
Blaschke Product ◽  
Main Tool ◽  
Unitary Equivalence ◽  
Finite Multiplicity ◽  
Minimal Function ◽  
Boundary Representations ◽  
Class C

AbstractWe obtain results on the unitary equivalence of weak contractions of class C0 to their Jordan models under an assumption on their commutants. In particular, our work addresses the case of arbitrary finite multiplicity. The main tool in this paper is the theory of boundary representations due to Arveson. We also generalize and improve previously known results concerning unitary equivalence and similarity to Jordan models when the minimal function is a Blaschke product.

Simultaneous unitary equivalence

1976 ◽  
Vol 4 (2) ◽  
pp. 79-84 ◽  
Author(s):  
F. Alberto Grübaum
Keyword(s):  
Unitary Equivalence

Radiation field eigenstates and its unitary equivalence to coordinate eigenstates

2010 ◽  
Vol 283 (13) ◽  
pp. 2716-2718 ◽  
Author(s):  
Wang Shuai ◽  
Zhang Xiao-Yan ◽  
Li Hong-Qi
Keyword(s):  
Radiation Field ◽  
Unitary Equivalence

On the Unitary Equivalence of Certain Classes of Non-Normal Operators. I

1971 ◽  
Vol 23 (5) ◽  
pp. 849-856 ◽  
Author(s):  
P. K. Tam
Keyword(s):  
Von Neumann Algebra ◽  
Unitary Operator ◽  
Equivalence Problem ◽  
Complex Hilbert Space ◽  
Linear Operators ◽  
Type I ◽  
Unitary Equivalence ◽  
Bounded Linear ◽  
Von Neumann ◽  
Normal Operators

The following (so-called unitary equivalence) problem is of paramount importance in the theory of operators: given two (bounded linear) operators A1, A2 on a (complex) Hilbert space , determine whether or not they are unitarily equivalent, i.e., whether or not there is a unitary operator U on such that U*A1U = A2. For normal operators this question is completely answered by the classical multiplicity theory [7; 11]. Many authors, in particular, Brown [3], Pearcy [9], Deckard [5], Radjavi [10], and Arveson [1; 2], considered the problem for non-normal operators and have obtained various significant results. However, most of their results (cf. [13]) deal only with operators which are of type I in the following sense [12]: an operator, A, is of type I (respectively, II1, II∞, III) if the von Neumann algebra generated by A is of type I (respectively, II1, II∞, III).

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