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On invertible contractions of quotients generated by a differential expression and by a nonnegative operator function.
- Source :
- Mathematical Notes; Nov2007, Vol. 82 Issue 5/6, p583-595, 13p
- Publication Year :
- 2007
-
Abstract
- In the present paper, we describe invertible contractions of the maximal quotient generated by a differential expression with bounded operator coefficients and by a nonnegative operator function. We show that the operators inverse to such contractions are integral operators and prove a criterion for such operators to be holomorphic. Using the results obtained, we describe the generalized resolvents of symmetric quotients. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 82
- Issue :
- 5/6
- Database :
- Complementary Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 32853753
- Full Text :
- https://doi.org/10.1134/S0001434607110028