학술논문
Use of bundles of locally convex spaces in problems of convergence of semigroups of operators. III.
Document Type
Journal
Author
Silvestri, B. (I-PADV-PM) AMS Author Profile
Source
Subject
46 Functional analysis -- 46E Linear function spaces and their duals
46E40Spaces of vector- and operator-valued functions
47Operator theory -- 47A General theory of linear operators
47A10Spectrum, resolvent
55Algebraic topology -- 55R Fiber spaces and bundles
55R25Sphere bundles and vector bundles
46E40
47
47A10
55
55R25
Language
English
Abstract
This is the last in a series of three papers [Part I, B. Silvestri, Eurasian Math. J. {\bf 7} (2016), no.~3, 53--88; MR3581184; Part II, Eurasian Math. J. {\bf 7} (2016), no.~4, 46--78; MR3614492]. In this final part of the work the author extends the classical stability problem to the framework of bundles of $\Omega$ spaces and consequently obtains some stability results for operators acting in various Banach spaces.