Geodesic
On Quasisimilarity for Subnormal Operators, II
Canadian mathematical bulletin, Tome 25 (1982) no. 1, pp. 37-40

Voir la notice de l'article provenant de la source Cambridge University Press

Let 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.
DOI : 10.4153/CMB-1982-004-2
Mots-clés : 47B20, 47B35, subnormal operator, Toeplitz operator, quasisimilarity 
Conway, John B. On Quasisimilarity for Subnormal Operators, II. Canadian mathematical bulletin, Tome 25 (1982) no. 1, pp. 37-40. doi: 10.4153/CMB-1982-004-2
@article{10_4153_CMB_1982_004_2,
     author = {Conway, John B.},
     title = {On {Quasisimilarity} for {Subnormal} {Operators,} {II}},
     journal = {Canadian mathematical bulletin},
     pages = {37--40},
     year = {1982},
     volume = {25},
     number = {1},
     doi = {10.4153/CMB-1982-004-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-004-2/}
}
TY  - JOUR
AU  - Conway, John B.
TI  - On Quasisimilarity for Subnormal Operators, II
JO  - Canadian mathematical bulletin
PY  - 1982
SP  - 37
EP  - 40
VL  - 25
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-004-2/
DO  - 10.4153/CMB-1982-004-2
ID  - 10_4153_CMB_1982_004_2
ER  - 
%0 Journal Article
%A Conway, John B.
%T On Quasisimilarity for Subnormal Operators, II
%J Canadian mathematical bulletin
%D 1982
%P 37-40
%V 25
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-004-2/
%R 10.4153/CMB-1982-004-2
%F 10_4153_CMB_1982_004_2

[1] 1. Clary, W. S., Equality of spectra of quasisimilar hyponormal operators, Proc. Amer. Math. Soc, 53 (1975), 88-90. Google Scholar

[2] 2. Clary, W. S., Quasisimilarity and subnormal operators, Ph.D. thesis, University of Michigan, 1973. Google Scholar

[3] 3. Conway, J. B., On quasisimilarity for subnormal operators, Illinois, J. Math., 24 (1980), 689-702. Google Scholar

[4] 4. Conway, J. B. and Olin, R. F., A functional calculus for subnormal operators, II, Memoirs Amer. Math. Soc, vol. 184, 1977. Google Scholar

[5] 5. Halmos, P. R., A Hilbert space problem book, D. Van Nostrand Co., Princeton, 1967. Google Scholar

[6] 6. Hastings, W. W., Subnormal operators quasisimilar to an isometry, Trans. Amer. Math. Soc, 256 (1979), 145-161. Google Scholar

[7] 7. Hoffman, K., Banach spaces of analytic functions, Prentice-Hall, Englewood Cliffs, N.J. (1962). Google Scholar

[8] 8. Wogen, W. R., On some operators with cyclic vectors, Indiana Univ. Math. J., 27 (1978), 163-171. Google Scholar

Cité par Sources :