Positive Isometric Averaging Operators on $${\ell^2(\mathbb{Z}, \mu)}$$ ℓ 2 ( Z , μ )-Reference-Cited by-同舟云学术

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Positive Isometric Averaging Operators on $${\ell^2(\mathbb{Z}, \mu)}$$ ℓ 2 ( Z , μ )

Published:2016-03-05 Issue:4 Volume:84 Page:487-500
ISSN:0378-620X
Container-title:Integral Equations and Operator Theory
language:en
Short-container-title:Integr. Equ. Oper. Theory

Author:

Boza Santiago^ORCID,Soria Javier

Funder

Ministerio de Economía y Competitividad

Departament d'Universitats, Recerca i Societat de la Informació

Departament d'Innovació, Universitats i Empresa, Generalitat de Catalunya

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00020-016-2284-3.pdf

Reference8 articles.

1. Ash P., Marshall Ash J., Ogden R.D.: A characterization of isometries. J. Math. Anal. Appl. 60, 417–428 (1977)

2. Boza S., Soria J.: Solution to a conjecture on the norm of the Hardy operator minus the identity. J. Funct. Anal. 260(4), 1020–1028 (2011)

3. Boza S., Soria J.: Isometries on $${L^2(X)}$$ L 2 ( X ) and monotone functions. Math. Nach. 287, 160–172 (2014)

4. Brown A., Halmos P.R., Shields A.L.: Cesàro operators. Acta Sci. Math. (Szeged) 26, 125–137 (1965)

5. Cerdà, J.: Linear functional analysis. In: Graduate Studies in Mathematics, vol. 116. American Mathematical Society, Providence, Real Sociedad Matemática Española, Madrid (2010)

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