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

Show full item record

Page view(s)

51
Last Week
0
Last month
3
checked on Jul 6, 2022

SCOPUSTM   
Citations

31
Last Week
0
Last month
1
checked on Jun 29, 2022

Google ScholarTM

Check

Add Files to Item

Note about this record

Cite this record

Export

Items in TORE are protected by copyright, with all rights reserved, unless otherwise indicated.