Products of Idempotent Operators

2017 ◽  
Vol 88 (2) ◽  
pp. 269-286 ◽  
Author(s):  
M. Laura Arias ◽  
Gustavo Corach ◽  
Alejandra Maestripieri
Keyword(s):  
Idempotent Operators

A Geometric Characterization of Nonnegative Bands

2004 ◽  
Vol 47 (2) ◽  
pp. 257-263
Author(s):  
Alka Marwaha
Keyword(s):  
Invariant Subspace ◽  
Geometric Structure ◽  
Finite Rank ◽  
Special Kind ◽  
Maximal Rank ◽  
Geometric Characterization ◽  
Idempotent Operators ◽  
Rank One ◽  
Standard Subspace

AbstractA band is a semigroup of idempotent operators. A nonnegative band S in having at least one element of finite rank and with rank (S) > 1 for all S in S is known to have a special kind of common invariant subspace which is termed a standard subspace (defined below).Such bands are called decomposable. Decomposability has helped to understand the structure of nonnegative bands with constant finite rank. In this paper, a geometric characterization of maximal, rank-one, indecomposable nonnegative bands is obtained which facilitates the understanding of their geometric structure.

On Some Classes of Idempotent Operators

1997 ◽  
Vol 05 (04) ◽  
pp. 401-410 ◽  
Author(s):  
G. Mayor ◽  
J. Torrens
Keyword(s):  
Linear Combination ◽  
Representation Theorem ◽  
Special Kind ◽  
Classical Representation ◽  
Aggregation Functions ◽  
Idempotent Operators ◽  
Special Cases ◽  
Convex Linear Combination

In this paper we deal with the idempotency equation H(x,x)=x for all x∈[0,1]. In particular we solve it for two special cases. First when H is a convex linear combination of a strict t-norm and its (1-j)-dual and second, when H is a convex linear combination of a special kind of aggregation functions F=<(f,N)> and its N-dual, being these aggregation functions, called L-representable aggregation functions, a kind of functions verifying a similar representation theorem to the classical representation theorem for non strict Archimedean t-norms.

On idempotent operators on Frechet spaces

1984 ◽  
Vol 43 (2) ◽  
pp. 179-182 ◽  
Author(s):  
J. Prada
Keyword(s):  
Fréchet Spaces ◽  
Idempotent Operators

scholarly journals Difference and similarity models of two idempotent operators

1994 ◽  
Vol 208-209 ◽  
pp. 257-282 ◽  
Author(s):  
Jin-Hsien Wang ◽  
Pei Yuan Wu
Keyword(s):  
Idempotent Operators

Maps Preserving Complementarity of Closed Subspaces of a Hilbert Space

2014 ◽  
Vol 66 (5) ◽  
pp. 1143-1166 ◽  
Author(s):  
Lucijan Plevnik ◽  
Peter Šemrl
Keyword(s):  
Hilbert Space ◽  
Hilbert Spaces ◽  
Bounded Linear ◽  
Infinite Dimensional ◽  
Idempotent Operators

AbstractLet and be infinite-dimensional separable Hilbert spaces and Lat the lattice of all closed subspaces oh . We describe the general form of pairs of bijective maps ϕ, Ψ : Lat → Lat having the property that for every pair U, V ∊ Lat we have . Then we reformulate this theorem as a description of bijective image equality and kernel equality preserving maps acting on bounded linear idempotent operators. Several known structural results for maps on idempotents are easy consequences.

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