Publisher DOI: | 10.1016/j.jfa.2014.03.002 | arXiv ID: | 1401.1300v2 | Title: | An affirmative answer to a core issue on limit operators | Language: | English | Authors: | Lindner, Marko ![]() Seidel, Markus |
Keywords: | Band-dominated operator; Fredholm theory; Limit operator; Mathematics - Functional Analysis; Mathematics - Functional Analysis; Mathematics - Operator Algebras | Issue Date: | 3-Apr-2014 | Publisher: | Elsevier | Source: | J. Funct. Anal., 267(3): 901-917 267 (2014) | Abstract (english): | An operator on an lᵖ-space is called band-dominated if it can be approximated, in the operator norm, by operators with a banded matrix representation. It is known that a rich band-dominated operator is 𝓟-Fredholm (which is a generalization of the classical Fredholm property) if and only if all of its so-called limit operators are invertible and their inverses are uniformly bounded. We show that the condition on uniform boundedness is redundant in this statement. |
URI: | http://hdl.handle.net/11420/9524 | ISSN: | 1096-0783 | Journal: | Journal of functional analysis | Institute: | Mathematik E-10 | Document Type: | Article |
Appears in Collections: | Publications without fulltext |
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