Authors:
- No prerequisites required to fully understand an active research line
- Full proofs of all the main results
- Systematic study of spear operators for the first time in a book
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2205)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
About this book
ǁ G+ωTǁ = 1 + ǁTǁ.
This concept extends the properties of the identity operator in those Banach spaces having numerical index one. Many examples among classical spaces are provided, being one of them the Fourier transform on L₁. The relationships with the Radon-Nikodým property, with Asplund spaces and with the duality, and some isometric and isomorphic consequences are provided. Finally, Lipschitz operators satisfying the Lipschitz version of the equation above are studied.
The book could be of interest to young researchers and specialists in functional analysis, in particular to those interested in Banach spaces and their geometry. It is essentially self-contained and only basic knowledge of functional analysis is needed.
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Authors and Affiliations
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School of Mathematics and Computer Science, V. N. Karazin Kharkiv National University, Kharkiv, Ukraine
Vladimir Kadets
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Departamento de Análisis Matemático, Universidad de Granada, Granada, Spain
Miguel Martín, Javier Merí
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Departamento de Matemáticas, Universidad de Murcia, Murcia, Spain
Antonio Pérez
Bibliographic Information
Book Title: Spear Operators Between Banach Spaces
Authors: Vladimir Kadets, Miguel Martín, Javier Merí, Antonio Pérez
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-71333-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Softcover ISBN: 978-3-319-71332-8Published: 17 April 2018
eBook ISBN: 978-3-319-71333-5Published: 16 April 2018
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XVII, 164
Number of Illustrations: 5 b/w illustrations
Topics: Analysis