Document Zbl 1159.46026

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From a formula of Kovarik to the parametrization of idempotents in Banach algebras. (English) Zbl 1159.46026

Ill. J. Math. 51, No. 2, 429-444 (2007).

The author studies elegant connections between idempotents (e.g., by linear segments or polynomial arcs consisting of idempotents) via the Kovarik element (i.e., the idempotent that shares its range with one of the two idempotents given and its nullspace with the other). The existence and various properties of Kovarik’s elements are characterized. In general, the minimum degree of a polynomial connection seems to be an open problem.

Reviewer: Jaroslav Zemánek (Warszawa)

Cited in 2 Documents

MSC:

46H05	General theory of topological algebras
47A05	General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
17C27	Idempotents, Peirce decompositions

Keywords:

idempotent; Kovarik’s element

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