Regular Functions of Operators on Tensor Products of Hilbert Spaces |
| |
Authors: | M I Gil’ |
| |
Institution: | (1) Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Beer-Sheva, 84105, Israel |
| |
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. |
| |
Keywords: | Primary 47A55 47A75 Secondary 47G10 47G20 |
本文献已被 SpringerLink 等数据库收录! |
|