Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 46, No. 2, pp. 311-320 (2005)

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A formula for angles between subspaces of inner product spaces

Hendra Gunawan, Oki Neswan and Wono Setya-Budhi

Department of Mathematics, Bandung Institute of Technology, Bandung 40132, Indonesia, e-mail:, e-mail:, e-mail:

Abstract: We present an explicit formula for angles between two subspaces of inner product spaces. Our formula serves as a correction for, as well as an extension of, the formula proposed by Risteski and Tren{\v c}evski [R]. As a consequence of our formula, a generalized Cauchy-Schwarz inequality is obtained. [R] Risteski, I. B.; Tren{\v c}evski, K. G.: Principal values and principal subspaces of two subspaces of vector spaces with inner product. Beitr. Algebra Geom. {\bf 42} (2001), 289--300.

Keywords: Angles between subspaces, canonical angles, generalized Cauchy-Schwarz inequality

Classification (MSC2000): 15A03, 51N20, 15A45, 15A21, 46B20

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Electronic version published on: 18 Oct 2005. This page was last modified: 29 Dec 2008.

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