scholarly journals A non-hyponormal operator generating Stieltjes moment sequences

2012 ◽  
Vol 262 (9) ◽  
pp. 3946-3980 ◽  
Author(s):  
Zenon Jan Jabłoński ◽  
Il Bong Jung ◽  
Jan Stochel
Keyword(s):  
Hyponormal Operator

scholarly journals On the spectrum of a hyponormal operator

1965 ◽  
Vol 17 (3) ◽  
pp. 305-309 ◽  
Author(s):  
Takashi Yoshino
Keyword(s):  
Hyponormal Operator

scholarly journals Factorization of a hyponormal operator

1975 ◽  
Vol 51 (7) ◽  
pp. 552-553
Author(s):  
Teishirô Saitô
Keyword(s):  
Hyponormal Operator

Hyponormal and essentially normal operators

1979 ◽  
Vol 83 (1-2) ◽  
pp. 123-132
Author(s):  
C. R. Putnam
Keyword(s):  
Hilbert Space ◽  
Sufficient Conditions ◽  
Principal Result ◽  
Hyponormal Operator ◽  
Essentially Normal ◽  
Normal Operators ◽  
Result Theorem ◽  
Almost All ◽  
Spectral Family

SynopsisLet T be a hyponormal operator on a Hilbert space, so that T*T – TT*≧ 0. Let T have the Cartesian representation T = H + iJ where H has the spectral family {Et} and suppose that EtJ − JEt is compact for almost all t on a Borei set α satisfying E(α) = I. The principal result (Theorem 3) is that under these hypotheses T must be normal. In case T is hyponormal and essentially normal some sufficient conditions are given assuring that, for a fixed t, EtJ − JEt is compact.

Note on ?the analytic model of a hyponormal operator with rank one self commutator?

1984 ◽  
Vol 7 (6) ◽  
pp. 893-894 ◽  
Author(s):  
Joel D. Pincus ◽  
Daoxing Xia ◽  
Jingbo Xia
Keyword(s):  
Hyponormal Operator ◽  
Analytic Model ◽  
Rank One

scholarly journals RIESZ PROJECTIONS FOR A NON-HYPONORMAL OPERATOR

2016 ◽  
Vol 24 (1) ◽  
pp. 65-70
Author(s):  
Jae Won Lee ◽  
In Ho Jeon
Keyword(s):  
Hyponormal Operator
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