Equivalence of quotient Hilbert modules

Proceedings - Mathematical Sciences - Tập 113 Số 3 - Trang 281-291 - 2003
Ronald G. Douglas1, Gadadhar Misra1
1Texas A&M University, College Station, 77843, Texas, USA

Tóm tắt

Từ khóa


Tài liệu tham khảo

Aronszajn N, Theory of reproducing kernels,Trans. Am. Math. Soc. 68 (1950) 337–404

Chen X and Douglas R G, Localization of Hilbert Modules,Mich. Math. J. 39 (1992) 443–454

Cowen M and Douglas R G, Complex geometry and operator theory,Acta Math. 141 (1978) 187–261

Curto R E and Salinas N, Generalized Bergman kernels and the Cowen-Douglas theory,Am. J. Math. 106 (1984) 447–488

Douglas R G and Misra G, Some calculations for Hilbert modules,J. Orissa Math. Soc. 12–16 (1993–96) 76–85

Douglas R G and Misra G, Geometric invariants for resolutions of Hilbert modules, in Operator Theory: Advances and Applications (Basel: Birkhäuser) (1998) vol. 104, pp. 83–112

Douglas R G, Misra G and Varughese C, On quotient modules-The case of arbitrary multiplicity,J. Funct. Anal. 174 (2000) 364–398

Douglas R G and Paulsen V I, Hilbert Modules over Function Algebras (New York: Longman Research Notes, Harlow) (1989) vol. 217

Douglas R G, Paulsen V I, Sah C-H and Yan K, Algebraic reduction and rigidity for Hilbert modules,Am. J. Math. 117 (1995) no. 1, pp. 75–92

Griffiths P and Harris J, Principles of Algebraic Geometry (John Wiley & Sons) (1978)

Martin M and Salinas N, Flag manifolds and the Cowen-Douglas theory,J. Op. Theory 38 (1997) 329–365

Wells R O, Differential Analysis on Complex manifolds, (Springer Verlag) (1978)