On invertible contractions of quotients generated by a differential expression and by a nonnegative operator function

被引：0
作者：
V. M. Bruk
机构：
[1] Saratov State Technical University,
来源：
Mathematical Notes | 2007年 / 82卷
关键词：
invertible contraction; integral operator; holomorphic operator; operator function; Hilbert space; self-adjoint operator; Borel measurable function;
D O I：
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学科分类号：
摘要：
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.
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页码：583 / 595
页数：12
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