Range projections of idempotents in C*-algebras

• Autorzy: Koliha, J.
• Języki publikacji: EN

Abstrakty

EN

In this paper we study range projections of idempotents m C*-algebras, and use them to obtain a Schur type decomposition that leads to simple proofs of results on Moore-Penrose inverse and norms of idempotents. We analyze the continuity of range projections, obtain a general result on their approximation, and recover a result of Vidav on two projections in a Hilbert space. Several representations of range projections are given.

Słowa kluczowe

EN

C*-algebra; idempotent; range projection; Moore-Penrose'a method

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2001
• Tom: Vol. 34, nr 1
• Strony: 91-103
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Koliha, J.

• Department of Mathematics and Statistics University of Melbourne VIC 3010, Australia,

Bibliografia

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