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Weighted Hardy Spaces Over the Unit Ball: The Freely Noncommutative and Commutative Settings Read chapter Read first chapter

2024 | OriginalPaper | Chapter

Quasi-Multipliers and Algebrizations of an Operator Space. III

Author : Masayoshi Kaneda

Published in: Operator and Matrix Theory, Function Spaces, and Applications

Publisher: Springer Nature Switzerland

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Abstract

The main part of this article serves as a corrigendum to the author’s paper “Quasi-multipliers and algebrizations of an operator space. J. Funct. Anal. 251(1):346–359 (2007).” We also present recreational examples in the form of a quiz which illustrates the main theorem of the aforementioned paper. Furthermore, we give the answer to one of the open questions raised by the author.

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Footnotes
1
Here we deliberately write \(\gamma (j(x_1)\otimes 1)\) for \(j(x_1)\) to make it comparable with the form appearing in the definition of \(\Gamma _{\varphi }\).
 
2
In this case \((X,\varphi )\) has a contractive approximate two-sided identity as remarked after [13, Corollary 4.2], and thus this general setting is superficial.
 
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Metadata
Title
Quasi-Multipliers and Algebrizations of an Operator Space. III
Author
Masayoshi Kaneda
Copyright Year
2024
Book
Operator and Matrix Theory, Function Spaces, and Applications

Print ISBN: 978-3-031-50612-3

Electronic ISBN: 978-3-031-50613-0

Copyright Year: 2024

DOI
https://doi.org/10.1007/978-3-031-50613-0_10

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