Norm estimates for matrix operators between Banach spaces
Authors:
- Mieczysław Mastyło,
- Paweł Mleczko
Abstract
We study norm estimates of matrix operators between Banach spaces. In particular, we prove a general variant of the Hardy-Littlewood result on lower estimate for norms of operators between ℓp-spaces and show applications to Calderón-Lozanovskii sequence lattices. We also provide estimates for norms of radially generated operators from abstract Hardy spaces to Banach sequence lattices. Likewise we prove the mean convergence theorem in abstract Hardy spaces and show general examples of radially generated operators. © 2012 Elsevier Inc. All rights reserved.
- Record ID
- UAM056eb1dc36334bfeb461867ce700afb1
- Author
- Journal series
- Linear Algebra and Its Applications, ISSN 0024-3795
- Issue year
- 2013
- Vol
- 438
- Pages
- 986-1001
- ASJC Classification
- ; ; ;
- DOI
- DOI:10.1016/j.laa.2012.09.002 Opening in a new tab
- Language
- (en) English
- Score (nominal)
- 30
- Score source
- journalList
- Score
- Publication indicators
- = 3; = 4; : 2014 = 1.311; : 2013 (2 years) = 0.983 - 2013 (5 years) =1.086
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- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAM056eb1dc36334bfeb461867ce700afb1/
- URN
urn:amu-prod:UAM056eb1dc36334bfeb461867ce700afb1
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.