Publication:
C<sup>*</sup>-algebra sequence spaces and bounded linear operators

Issued Date

2009-03-01

Resource Type

Article

ISSN

09725954

Other identifier(s)

2-s2.0-83055160889

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Mahidol University

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SCOPUS

Bibliographic Citation

Journal of Analysis and Applications. Vol.7, No.1 (2009), 31-52

Suggested Citation

S. Leelahanon, P. Chaisuriya C<sup>*</sup>-algebra sequence spaces and bounded linear operators. Journal of Analysis and Applications. Vol.7, No.1 (2009), 31-52. Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/27781

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Title

C<sup>*</sup>-algebra sequence spaces and bounded linear operators

Author(s)

S. Leelahanon
 P. Chaisuriya

Other Contributor(s)

Mahidol University
 Thammasat University

Abstract

In this paper, A denotes a C*-algebra with identity. The spaces l2 (A) ⊆ lb2(A) are defined; these are noncommutative generalizations of the classical sequence space l 2. The dual space l2(A)* is isometrically isomorphic to the space S(A) of sequences of bounded linear functionals on A satisfying a weak absolute convergence condition. Conditions for reflexivity of l2(A) are given. Furthermore, the space l2 (A) is also a Hilbert A-module. The space of adjointable bounded linear operators on l 2 (A) is studied. © SAS International Publications.

Keyword(s)

Mathematics

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https://repository.li.mahidol.ac.th/handle/20.500.14594/27781

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