CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

Simple conditions for matrices to be bounded operators on $l_p$

  Published:1998-03-01
 Printed: Mar 1998
  • David Borwein
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

The two theorems proved yield simple yet reasonably general conditions for triangular matrices to be bounded operators on $l_p$. The theorems are applied to N\"orlund and weighted mean matrices.
Keywords: Triangular matrices, Nörlund matrices, weighted means, operators, on $l_p$. Triangular matrices, Nörlund matrices, weighted means, operators, on $l_p$.
MSC Classifications: 47B37, 47A30, 40G05 show english descriptions Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
Norms (inequalities, more than one norm, etc.)
Cesaro, Euler, Norlund and Hausdorff methods
47B37 - Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
47A30 - Norms (inequalities, more than one norm, etc.)
40G05 - Cesaro, Euler, Norlund and Hausdorff methods
 

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/