Essential Norms of Weighted Composition Operators on L^1 Müntz Spaces

Al Alam, Ihab; Lefèvre, Pascal

Serdica Mathematical Journal (2014)

  • Volume: 40, Issue: 3-4, page 241-260
  • ISSN: 1310-6600

Abstract

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This paper discusses the problem of boundedness and compactness for weighted composition operators defined on a Müntz subspace of L^1([0,1]). We compute the essential norm of such operators when the symbol ϕ of the composition operator satisfies a special condition (condition (β)). As a corollary, we obtain the exact values of essential norms of composition and multiplication operators. This completes the corresponding results of the first named author in the framework of Müntz subspaces of C([0, 1]). 2010 Mathematics Subject Classification: 47B33, 47B38.

How to cite

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Al Alam, Ihab, and Lefèvre, Pascal. "Essential Norms of Weighted Composition Operators on L^1 Müntz Spaces." Serdica Mathematical Journal 40.3-4 (2014): 241-260. <http://eudml.org/doc/295001>.

@article{AlAlam2014,
abstract = {This paper discusses the problem of boundedness and compactness for weighted composition operators defined on a Müntz subspace of L^1([0,1]). We compute the essential norm of such operators when the symbol ϕ of the composition operator satisfies a special condition (condition (β)). As a corollary, we obtain the exact values of essential norms of composition and multiplication operators. This completes the corresponding results of the first named author in the framework of Müntz subspaces of C([0, 1]). 2010 Mathematics Subject Classification: 47B33, 47B38.},
author = {Al Alam, Ihab, Lefèvre, Pascal},
journal = {Serdica Mathematical Journal},
keywords = {Müntz spaces; compact operators; composition operators; essential norm},
language = {eng},
number = {3-4},
pages = {241-260},
publisher = {Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences},
title = {Essential Norms of Weighted Composition Operators on L^1 Müntz Spaces},
url = {http://eudml.org/doc/295001},
volume = {40},
year = {2014},
}

TY - JOUR
AU - Al Alam, Ihab
AU - Lefèvre, Pascal
TI - Essential Norms of Weighted Composition Operators on L^1 Müntz Spaces
JO - Serdica Mathematical Journal
PY - 2014
PB - Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
VL - 40
IS - 3-4
SP - 241
EP - 260
AB - This paper discusses the problem of boundedness and compactness for weighted composition operators defined on a Müntz subspace of L^1([0,1]). We compute the essential norm of such operators when the symbol ϕ of the composition operator satisfies a special condition (condition (β)). As a corollary, we obtain the exact values of essential norms of composition and multiplication operators. This completes the corresponding results of the first named author in the framework of Müntz subspaces of C([0, 1]). 2010 Mathematics Subject Classification: 47B33, 47B38.
LA - eng
KW - Müntz spaces; compact operators; composition operators; essential norm
UR - http://eudml.org/doc/295001
ER -

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