Displaying similar documents to “Maps on idempotent operators”

Idempotent operators on a finite chain.

Margalida Mas Grimalt, Joan Torrens, Tomasa Calvo, Marc Carbonell (1999)

Mathware and Soft Computing

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This work is devoted to find and study some possible idempotent operators on a finite chain L. Specially, all idempotent operators on L which are associative, commutative and non-decreasing in each place are characterized. By adding one smoothness condition, all these operators reduce to special combinations of Minimum and Maximum.

Maps on idempotents

Peter Šemrl (2005)

Studia Mathematica

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Let X be an infinite-dimensional real or complex Banach space, B(X) the algebra of all bounded linear operators on X, and P(X) ⊂ B(X) the subset of all idempotents. We characterize bijective maps on P(X) preserving commutativity in both directions. This unifies and extends the characterizations of two types of automorphisms of P(X), with respect to the orthogonality relation and with respect to the usual partial order; the latter have been previously characterized by Ovchinnikov. We...

Some Properties of Some Special Matrices. Part II

Xiaopeng Yue, Dahai Hu, Xiquan Liang (2006)

Formalized Mathematics

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This article provides definitions of idempotent, nilpotent, involutory, self-reversible, similar, and congruent matrices, the trace of a matrix and their main properties.