Operators in Cowen-Douglas classes
Zhu, Kehe
Illinois J. Math., Tome 44 (2000) no. 4, p. 767-783 / Harvested from Project Euclid
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The paper introduces a new approach to the Cowen-Douglas theory based on the notion of a spanning holomorphic cross-section. This approach is less geometric and enables one to obtain several additional results, including one about the similarity of operators in the Cowen-Douglass classes and another about the representation of these operators as the adjoint of multiplication by $z$ on certain Hilbert spaces of holomorphic functions.
Publié le : 2000-12-15
Classification:  47A45,  30C40,  46E22,  47A56,  47B32 
@article{1255984691,
     author = {Zhu, Kehe},
     title = {Operators in Cowen-Douglas classes},
     journal = {Illinois J. Math.},
     volume = {44},
     number = {4},
     year = {2000},
     pages = { 767-783},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255984691}
}

Zhu, Kehe. Operators in Cowen-Douglas classes. Illinois J. Math., Tome 44 (2000) no. 4, pp.  767-783. http://gdmltest.u-ga.fr/item/1255984691/