Abstract
We consider the question: When is the inverse of a Hilbert space operator the limit (in the standard operator topologies) of a sequence of polynomials in the operator? A necessary and sufficient condition is given for the norm topology and there is a discussion of the problem for the strong and weak topologies.
Original language | English |
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Pages (from-to) | 323-328 |
Number of pages | 6 |
Journal | Linear Algebra and Its Applications |
Volume | 389 |
Issue number | 1-3 |
DOIs | |
State | Published - 15 Sep 2004 |
Keywords
- Invariant subspace
- Invertible operator
- Resolvent
ASJC Scopus subject areas
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics