On n-Tuples of Subspaces in Linear and Unitary Spaces

• Date: 2009
• ISSN: 1029-3531
• Main Authors: Samoilenko, Yu.S., Yakymenko, D.Yu.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/5700
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On n-Tuples of Subspaces in Linear and Unitary Spaces / Yu.S. Samoilenko, D.Yu. Yakymenko // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 1. — С. 48–60. — Библиогр.: 34 назв. — англ.

We study a relation between brick n-tuples of subspaces of a finite dimensional linear space, and irreducible n-tuples of subspaces of a finite dimensional Hilbert (unitary) space such that a linear combination, with positive coefficients, of orthogonal projections onto these subspaces equals the id...