The Berger-Shaw theorem in the Hardy module over the bidisk

Journal of Operator Theory

Volumn 42, Issue 2, 1997, Pages 379-404

  Yang, Rongwei ^a  

^a UNIVERSITY OF GEORGIA   (United States)

Author keywords

Bidisk; Cross commutator; Hilbert Schmidt; Submodule

Indexed keywords

EID: 0001317553     PISSN: 03794024     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. C. BERGER, B. SHAW, Selfcommutators of multicyclic hyponormal operators are always trace class, Bull. Amer. Math. Soc. 79(1973), 1193-1199.
2. R. CURTO, Problems in multivariable operator theory, Contemp. Math. 120(1991), 15-17.
3. R. CURTO, P. MUHLY, K. YAN, The C*-algebra of an homogeneous ideal in two variables is type I, in Current Topics in Operator Algebras, Nara 1990, pp. 130-136.
4. R. DOUGLAS, Invariants for Hilbert modules, Proc. Sympos. Pure Math. 51(1990), 179-196.
5. R. DOUGLAS, V. PAULSEN, Hilbert Modules over the Function Algebras, Pitman Res. Notes Math. Ser., vol. 217, Longman Sci. Tech., Harlow 1989.
6. R. DOUGLAS, K. YAN, A multivariable Berger-Shaw theorem, J. Operator Theory 27(1992), 205-217.
7. I.C. GOHBERG, M.G. KRAIN, Introduction to the Theory of Linear Nonselfajoint Operators, Transl. Math. Monographs, vol. 18, Amer. Math. Soc., Providence 1969.
8. H. GRAUERT, K. FRITZSCHE, Several complex variables, Graduate Texts in Math., Springer-Verlag, vol. 38, 1976.
9. K. KENDIG, Elementary Algebraic Geometry, Springer-Verlag, New York 1977.
10. N.K. NIKOLSKII, Treatise on the Shift Operator, Grundlehren Math. Wiss., vol. 273, Springer-Verlag, Berlin-Heidelberg 1986.
11. W. RUDIN, Function Theory in Polydiscs, New York, Benjamin 1969.
12. O. ZARISKI, P. SAMUEL, Commutative Algebra, vol. 1, Springer-Verlag, New York 1975.