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A Dolbeault isomorphism theorem in infinite dimensions
Author(s):
Scott
Simon
Journal:
Trans. Amer. Math. Soc.
361
(2009),
87-101.
MSC (2000):
Primary 32L10, 32L20, 32Txx, 32U05, 46G20.
Posted:
August 21, 2008
MathSciNet review:
2439399
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Additional information
Abstract:
For a large class of separable Banach spaces, we prove the real analytic Dolbeault isomorphism theorem for open subsets.
References:
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MSC (2000):
32L10, 32L20, 32Txx, 32U05, 46G20.
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MSC (2000):
32L10, 32L20, 32Txx, 32U05, 46G20.
Additional Information:
Scott
Simon
Affiliation:
Department of Mathematics, Stony Brook University, Stony Brook, New York 11794-3651
Email:
sbsimon@math.sunysb.edu
DOI:
10.1090/S0002-9947-08-04550-9
PII:
S 0002-9947(08)04550-9
Keywords:
Dolbeault isomorphism,
Banach spaces,
cohomology vanishing,
plurisubharmonic functions
Received by editor(s):
January 3, 2006
Received by editor(s) in revised form:
October 10, 2006
Posted:
August 21, 2008
Additional Notes:
This research was partially supported by NSF grant DMS 0203072.
Dedicated:
For L. Lempert
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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