Results 51 to 60 of about 2,231 (145)

Products of Idempotent Operators

Integral Equations and Operator Theory, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arias, Maria Laura, Corach, Gustavo, Maestripieri, Alejandra Laura   +2 more
openaire   +2 more sources

Vector valued logarithmic residues and the extraction of elementary factors [PDF]

An analysis is presented of the circumstances under which, by the extraction of elementary factors, an analytic Banach algebra valued function can be transformed into one taking invertible values only. Elementary factors are generalizations of the simple
Bart, H., Silbermann, B., Ehrhardt, T.
core   +1 more source

On idempotent convexities and idempotent barycenter maps

Topology and its Applications
We consider an isomorphism between the idempotent convexity based on the maximum and the addition operations and the idempotent measure convexity on the maximum and the multiplication operations. We use this isomorphism to investigate topological properties of the barycenter map related to the maximum and the multiplication operations.
Dawid Krasiński, Taras Radul
openaire   +3 more sources

Categorical idempotents via shifted 0-affine algebras [PDF]

, 2023
We show that a categorical action of shifted 0-affine algebra naturally gives two families of pairs of complementary idempotents in the triangulated monoidal category of triangulated endofunctors for each weight category.
Hsu, You-Hung
core  

On commutators of idempotents

Linear and Multilinear Algebra
Let $T$ be an operator on Banach space $X$ that is similar to $- T$ via an involution $U$. Then $U$ decomposes the Banach space $X$ as $X = X_1 \oplus X_2$ with respect to which decomposition we have $U = \left(\begin{matrix} I_1 & 0 \\ 0 & -I_2 \end{matrix} \right)$, where $I_i$ is the identity operator on the closed subspace $X_i$ ($i=1, 2$).
openaire   +3 more sources

A characterization of idempotents in semigroups [PDF]

, 1968
The purpose of this note is to present a theorem which characterizes, exhibits, and counts the number of idempotents in a symmetric groupoid. The proof is simple and it simplifies similar results in two papers by Harris in which the number of idempotents
Tainiter, M.
core   +1 more source

Enumeration of idempotents in planar diagram monoids [PDF]

, 2019
We classify and enumerate the idempotents in several planar diagram monoids: namely, the Motzkin, Jones (a.k.a. Temperley–Lieb) and Kauffman monoids.
Evangelou, Athanasios, FitzGerald, Des, Hyde, James, FitzGerald, Des G., Ham, Nicholas, Dolinka, Igor, Loughlin, Nicholas, East, James, Mitchell, James D., East, James (R16839)   +9 more
core   +3 more sources

Group partition and systems of orthogonal idempotents [PDF]

, 1998
Orthogonal systems of idempotents are applicable to Physics, Chemistry and other areas of Mathematics. Given a finite group G, and a set partition {[θ1], [θ2], …, [θk]} of G, we present a method that is sometimes successful in constructing a system of ...
Shanqi Pang, Zhao, Wenzheng, Zhengming Jiao, Wenzheng Zhao, Jiao, Zhengming, Yingshan Zhang, Zhang, Yingshan, Pang, Shanqi   +7 more
core   +1 more source

Higher Lie Idempotents

Journal of Algebra, 1999
The Milnor-Moore theorem says that in characteristic zero, any connected graded cocommutative bialgebra \(A\) is canonically isomorphic to the enveloping bialgebra of the Lie algebra of its primitive elements \(\text{Prim}(A)\). There is a weaker form known as the Leray theorem, whose dual statement is that any retract of the vector space inclusion of \
Patras, Frédéric, Reutenauer, Christophe   +1 more
openaire   +2 more sources

Skew pairs of idempotents in transformation semigroups [PDF]

, 2006
An ordered pair (e, f) of idempotents of a regular semigroup is called a skew pair if ef is not idempotent whereas fe is idempotent. We have shown previously that there are four distinct types of skew pairs of idempotents.
Blyth, T. S., Almeida Santos, M. H.
core   +1 more source