Abstract
A class of linear operators on tensor products of Hilbert spaces is considered. Estimates for the norm of operator-valued functions regular on the spectrum are derived. These results are new even in the finite-dimensional case. By virtue of the obtained estimates, we derive stability conditions for semilinear differential equations. Applications of the mentioned results to integro-differential equations are also discussed.
Original language | English |
---|---|
Pages (from-to) | 317-331 |
Number of pages | 15 |
Journal | Integral Equations and Operator Theory |
Volume | 54 |
Issue number | 3 |
DOIs | |
State | Published - 1 Mar 2006 |
Keywords
- Hilbert spaces
- Integro-differential equations
- Operator functions
- Tensor products
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory