Results 11 to 20 of about 887,184 (130)
Some remarks on orthogonally additive operators on Riesz spaces
, 2022 We study orthogonally additive operators between Riesz spaces without the Dedekind completeness assumption on the range space. Our first result gives necessary and sufficient conditions on a pair of Riesz spaces $(E,F)$ for which every orthogonally additive operator from $E$ to $F$ is laterally-to-order bounded.
Fotiy, Olena +2 more
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Orthogonally additive polynomials on the algebras of approximable operators [PDF]
Linear and Multilinear Algebra, 2018 To appear in Linear and Multilinear ...
Alaminos, Jerónimo +2 more
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The induced generalized OWA operator (WP) [PDF]
, 2013 [spa] Se presenta el operador OWA generalizado inducido (IGOWA). Es un nuevo operador de agregación que generaliza al operador OWA a través de utilizar las principales características de dos operadores muy conocidos como son el operador OWA generalizado ...
Merigó Lindahl, José M. +1 more
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Some notes on orthogonally additive polynomials [PDF]
, 2022 We provide two new characterizations of bounded orthogonally additive polynomials from a uniformly complete vector lattice into a convex bornological space using separately two polynomial identities of Kusraeva involving the root mean power and the ...
Schwanke, Christopher Michael
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ON SEPARATE ORDER CONTINUITY OF ORTHOGONALLY ADDITIVE OPERATORS
Bukovinian Mathematical Journal, 2021 Our main result asserts that, under some assumptions, the uniformly-to-order continuity of an order bounded orthogonally additive operator between vector lattices together with its horizontally-to-order continuity implies its order continuity (we say that a mapping f : E → F between vector lattices E and F is horizontally-to-order continuous provided f
Krasikova, I. V. +3 more
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Orthogonally additive holomorphic functions of bounded type over C(K) [PDF]
, 2010 It is known that all k-homogeneous orthogonally additive polynomials P over C(K) are of the form P(x)= ∫Kxkdμ. Thus, x → xk factors all orthogonally additive polynomials through some linear form μ.
Daniel Carando +5 more
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Points of narrowness and uniformly narrow operators
Karpatsʹkì Matematičnì Publìkacìï, 2017 It is known that the sum of every two narrow operators on $L_1$ is narrow, however the same is false for $L_p$ with $1 < p < \infty$. The present paper continues numerous investigations of the kind.
A.I. Gumenchuk +2 more
doaj +1 more source
The lateral order on Riesz spaces and orthogonally additive operators. II [PDF]
Positivity, 2020 AbstractThe paper contains a systematic study of the lateral partial order $$\sqsubseteq $$ ⊑ in a Riesz space (the relation $$x \sqsubseteq y$$ x ⊑ y means that x is a fragment of y) with applications to
Volodymyr Mykhaylyuk +2 more
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Orthogonally additive polynomials on C*-Algebras [PDF]
, 2008 We show that for every orthogonally additive scalar n-homogeneous polynomial P on a C*-algebra A there exists phi in A* satisfying P(x) = phi(x(n)), for each element x in A.
Palazuelos Cabezón, Carlos +2 more
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On orthogonally additive functions with orthogonally additive second iterate [PDF]
, 2013 Let E be a real inner product space of dimension at least 2.
Baron, Karol
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