How are Invertible Linear Operators and Their Inverses Related?

Avraham Feintuch

doi:10.1007/s11785-023-01415-y

How are Invertible Linear Operators and Their Inverses Related?

Avraham Feintuch

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In a finite dimensional vector space, the inverse of an invertible operator is a polynomial in the operator. We study the connection between an invertible operator and its inverse in infinite dimensional Banach space.

Original language	English
Article number	112
Journal	Complex Analysis and Operator Theory
Volume	17
Issue number	7
DOIs	https://doi.org/10.1007/s11785-023-01415-y
State	Published - 1 Oct 2023

Keywords

Algebraic operators
Invariant subspaces
Invertible operators
Resolvent

ASJC Scopus subject areas

Computational Mathematics
Computational Theory and Mathematics
Applied Mathematics

Access to Document

10.1007/s11785-023-01415-y

Cite this

@article{63ffb991cb064721901e1dff42c82974,

title = "How are Invertible Linear Operators and Their Inverses Related?",

abstract = "In a finite dimensional vector space, the inverse of an invertible operator is a polynomial in the operator. We study the connection between an invertible operator and its inverse in infinite dimensional Banach space.",

keywords = "Algebraic operators, Invariant subspaces, Invertible operators, Resolvent",

author = "Avraham Feintuch",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2023",

month = oct,

day = "1",

doi = "10.1007/s11785-023-01415-y",

language = "English",

volume = "17",

journal = "Complex Analysis and Operator Theory",

issn = "1661-8254",