Linear orthogonality preservers of Hilbert -modules over
-algebras with real rank zero
Authors:
Chi-Wai Leung, Chi-Keung Ng and Ngai-Ching Wong
Journal:
Proc. Amer. Math. Soc. 140 (2012), 3151-3160
MSC (2010):
Primary 46L08, 46H40
DOI:
https://doi.org/10.1090/S0002-9939-2012-11260-2
Published electronically:
January 6, 2012
MathSciNet review:
2917088
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: Let be a
-algebra with real rank zero. Let
and
be Hilbert
-modules with
being full. Suppose that
is a linear map preserving orthogonality, i.e.,














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Additional Information
Chi-Wai Leung
Affiliation:
Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong SAR, People’s Republic of China
Email:
cwleung@math.cuhk.edu.hk
Chi-Keung Ng
Affiliation:
Chern Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, People’s Republic of China
Email:
ckng@nankai.edu.cn
Ngai-Ching Wong
Affiliation:
Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, 80424, Taiwan, Republic of China
Email:
wong@math.nsysu.edu.tw
DOI:
https://doi.org/10.1090/S0002-9939-2012-11260-2
Keywords:
Hilbert $C^{*}$-modules,
orthogonality preservers,
module maps,
local maps,
real rank zero $C^{*}$-algebras
Received by editor(s):
May 25, 2010
Received by editor(s) in revised form:
March 22, 2011
Published electronically:
January 6, 2012
Additional Notes:
The authors are supported by The Chinese University of Hong Kong Direct Grant (2060389), National Natural Science Foundation of China (10771106), and Taiwan NSC grant (NSC96-2115-M-110-004-MY3).
Communicated by:
Marius Junge
Article copyright:
© Copyright 2012
American Mathematical Society