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A gentle guide to the basics of two projections theory

✍ Scribed by A. Böttcher; I.M. Spitkovsky

Book ID
104038151
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
597 KB
Volume
432
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

✦ Synopsis

This paper is a survey of the basics of the theory of two projections. It contains in particular the theorem by Halmos on two orthogonal projections and Roch, Silbermann, Gohberg, and Krupnik's theorem on two idempotents in Banach algebras. These two theorems, which deliver the desired results usually very quickly and comfortably, are missing or wrongly cited in many recent publications on the topic, The paper is intended as a gentle guide to the field. The basic theorems are precisely stated, some of them are accompanied by full proofs, others not, but precise references are given in each case, and many examples illustrate how to work with the theorems.

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