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Operator theory and algebraic geometry
Author(s):
R. G.
Douglas;
Vern
Paulsen;
Keren
Yan
Journal:
Bull. Amer. Math. Soc.
20
(1989),
67-71.
MSC (1985):
Primary 47A25, 47B20, 47A45, 47A60
MathSciNet review:
955316
Retrieve article in:
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References |
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Additional information
References:
- 1.
- O. P. Agrawal, D. N. Clark, and R. G. Douglas, Invariant subspaces in the polydisk, Pacific J. Math. 121 (1986), 1-11. MR 815027
- 2.
- O. P. Agrawal and N. Salinas, Sharp kernels and canonical subspaces, Amer. J. Math. 109 (1987), 23-40. MR 926737
- 3.
- P. Ahern and D. N. Clark, Invariant subspaces and analytic continuation in several variables, J. Math. Mech. 19 (1969/1970), 963-969. MR 261340
- 4.
- A. Athavale, On joint hyponormality of operators, Proc. Amer. Math. Soc. 103 (1988), 417-423. MR 943059
- 5.
- C. A. Berger, L. A. Coburn, and A. Lebow, Representation and index theory for C*-algebras generated by commuting isometries, J. Funct. Anal. 27 (1978), 51-99. MR 467392
- 6.
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- 7.
- A. Beurling, On two problems concerning linear transformations in Hilbert space, Acta Math. 81 (1949), 239-255. MR 27954
- 8.
- N. Bourbaki, Commutative algebra, Addison-Wesley, 1972.
- 9.
- L, G. Brown, R. G. Douglas, and P. A. Fillmore, Unitary equivalence modulo the compact operators and extensions of C* -algebras, Proc. Conf. Operator Theory, Lecture Notes in Math., vol. 345, Springer-Verlag, Berlin and New York, 1973, pp. 58-128. MR 380478
- 10.
- R. W. Carey and J. D. Pincus, Principal functions, index theory, geometric measure theory and function algebras, Integral Equations and Operator Theory 2 (1979), 441-483. MR 555774
- 11.
- A. Connes, Noncommutative differential geometry, Inst. Hautes Études Sci. Publ. Math. 86 (1986), 41-144. MR 823176
- 12.
- M. J. Cowen and R. G. Douglas, On moduli for invariant subspaces, Operator Theory, Birkhauser Verlag, Basel, Adv. Appl. 6 (1982), 65-73. MR 685454
- 13.
- R. G. Douglas and V. I. Paulsen, Hilbert modules for function algebras, Longman Research Notes (to appear).
- 14.
- A. Grothendieck, Éléments de géométrie algébrique. IV, Inst. Hautes Études Sci. Publ. Math. 24(1965). MR 199181
- 15.
- W. Hastings, Commuting subnormal operators simultaneously quasisimilar to unilateral shifts, Illinois J. Math. 22 (1978), 506-519. MR 512859
- 16.
- J. W. Helton and R. Howe, Traces of commutators of integral operators, Acta Math. 136(1976), 271-305. MR 438188
- 17.
- J. Taylor, A joint spectrum for several commuting operators, J. Funct. Anal. 6 (1970), 172-191. MR 268706
- 18.
- J. von Neumann, Allgemeine Eigenwert-theorie Hermitesches Funktional Operatoren, Math. Ann. 102 (1929), 49-131.
- 19.
- H. Wold, A study in the analysis of stationary time series, Stockholm, 1938.
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Additional Information:
DOI:
10.1090/S0273-0979-1989-15700-5
PII:
S 0273-0979(1989)15700-5
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