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A new characterization of gaps between two subspaces
Author(s):
Hong-Ke
Du;
Chun-Yuan
Deng
Journal:
Proc. Amer. Math. Soc.
133
(2005),
3065-3070.
MSC (2000):
Primary 46C07, 46C05
Posted:
April 20, 2005
MathSciNet review:
2159786
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Abstract:
In this note, a new characterization of gaps between two subspaces of a Hilbert space is established.
References:
-
- 1.
- H. Du and C. Deng, Common complements of two subspaces and an answer of Groß's question, Preprint.
- 2.
- B. P. Duggal, Subspace gaps and range-kernel orthogonality of an elementary operator, Linear Algebra and its Applications 383 (2004), 93-106.MR 2073895
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Additional Information:
Hong-Ke
Du
Affiliation:
College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, People's Republic of China
Email:
hkdu@snnu.edu.cn
Chun-Yuan
Deng
Affiliation:
College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, People's Republic of China
Email:
cy-deng@263.net
DOI:
10.1090/S0002-9939-05-07849-4
PII:
S 0002-9939(05)07849-4
Keywords:
Subspace,
projection,
gap between two subspaces
Received by editor(s):
March 12, 2004
Received by editor(s) in revised form:
June 3, 2004
Posted:
April 20, 2005
Additional Notes:
This research was partially supported by the National Natural Science Foundation of China (19771056).
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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