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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
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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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