Complete unitary invariant for some subnormal operator

1992 ◽  
Vol 15 (1) ◽  
pp. 154-166 ◽  
Author(s):  
Daoxing Xia
Keyword(s):  
Subnormal Operator

scholarly journals $C^\ast $-algebras generated by a subnormal operator

1999 ◽  
Vol 351 (4) ◽  
pp. 1445-1460
Author(s):  
Kit C. Chan ◽  
Zeljko Cucković
Keyword(s):  
Subnormal Operator

On Quasisimilarity for Subnormal Operators, II

1982 ◽  
Vol 25 (1) ◽  
pp. 37-40 ◽  
Author(s):  
John B. Conway
Keyword(s):  
Subnormal Operator ◽  
Unilateral Shift ◽  
Closed Algebra ◽  
Subnormal Operators ◽  
Weak Star

AbstractLet S be a subnormal operator and let be the weak-star closed algebra generated by S and 1. An example of an irreducible cyclic subnormal operator S is found such that there is a T in with S and T quasisimilar but not unitarily equivalent. However, if S is the unilateral shift, T ∈ and S and T are quasisimilar, then S ≅ T.

scholarly journals On the spectral picture of an irreducible subnormal operator II

2002 ◽  
Vol 131 (6) ◽  
pp. 1793-1801 ◽  
Author(s):  
Nathan S. Feldman ◽  
Paul McGuire
Keyword(s):  
Subnormal Operator

scholarly journals A note on Putinar's matricial models

Filomat ◽  
2013 ◽  
Vol 27 (5) ◽  
pp. 739-746
Author(s):  
Jaewoong Kim
Keyword(s):  
Subnormal Operator ◽  
Sufficient Condition

In this note we consider the conjecture that every hyponormal Putinar's matricial model of rank two is subnormal. Related to this conjecture, we show that there exists a non rationally cyclic subnormal Putinar's matricial model of rank two and then give a sufficient condition for it to be a subnormal operator.

scholarly journals Subnormal operator with a cyclic vector

1969 ◽  
Vol 21 (1) ◽  
pp. 47-55 ◽  
Author(s):  
Takashi Yoshino
Keyword(s):  
Subnormal Operator ◽  
Cyclic Vector

A Subnormal Operator and its Dual

1996 ◽  
Vol 48 (2) ◽  
pp. 381-396
Author(s):  
Robert F. Olin ◽  
Liming Yang
Keyword(s):  
Unit Circle ◽  
Essential Spectrum ◽  
Real Axis ◽  
Additional Assumption ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Subnormal Operator ◽  
The Real ◽  
Necessary And Sufficient

AbstractIt is shown that the essential spectrum of a cyclic, self-dual, subnormal operator is symmetric with respect to the real axis. The study of the structure of a cyclic, irreducible, self-dual, subnormal operator is reduced to the operator Sμ with bpeμ = D. Necessary and sufficient conditions for a cyclic subnormal operator Sμ with bpeμ = D to be self-dual are obtained under the additional assumption that the measure on the unit circle is log-integrable. Finally, an approach to a general cyclic, self-dual, subnormal operator is discussed.

A trace formula for subnormal operator tuples

1991 ◽  
Vol 14 (3) ◽  
pp. 390-398 ◽  
Author(s):  
J. D. Pincus ◽  
D. Xia
Keyword(s):  
Trace Formula ◽  
Subnormal Operator
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