Results 111 to 120 of about 887,184 (130)

Fragments of orthogonally additive operators and the nonlinear Dodds-Fremlin's theorem

Journal of Mathematical Analysis and Applications
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Marat Pliev, Karimbergen Kudaybergenov
exaly   +3 more sources

Orthogonally Additive Operators on Vector Lattices

Trends in Mathematics, 2022
Marat Pliev, Mikhail Popov
exaly   +2 more sources

Orthogonally additive polynomials on spaces of continuous functions [PDF]

Journal of Mathematical Analysis and Applications, 2005
We show that, for every orthogonally additive homogeneous polynomial P on a space of continuous functions C(K) with values in a Banach space Y, there exists a linear operator S:C(K)→Y such that P(f)=S(fn).
Ignacio Villanueva, David Pérez-Garcı́A   +1 more
exaly   +2 more sources

Orthogonal Additivity of a Product of Powers of Linear Operators

Mathematical Notes, 2023
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Kusraeva, Z. A., Tamaeva, V. A.
openaire   +1 more source

On C-Compact Orthogonally Additive Operators

Russian Mathematics
It is shown that the set of all C-compact orthogonally additive operators from a vector lattice E to an AM-space F is a vector lattice and the lattice operations can be calculated by the Riesz–Kantorovich formulas. Moreover, a positive AM-compact orthogonally additive map defined on a lateral ideal of a vector lattice E and taking values in an AM-space
Dzhusoeva, N. A., Valgasov, Z. S.
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Banach lattices of orthogonally additive operators

Journal of Mathematical Analysis and Applications, 2022
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Diffuse orthogonally additive operators

Sbornik: Mathematics
A regular orthogonally additive operator is a diffuse operator if it is disjoint from all operators in the band generated by the disjointness preserving operators. We present a criterion for principal lateral projections in an order complete vector lattice $E$ to be disjoint.
Abasov, Nariman M., Dzhusoeva, Nonna A., Pliev, Marat A.   +2 more
openaire   +1 more source

The Radon-Nikodým Theorem for Disjointness Preserving Orthogonally Additive Operators

2021
In this article we prove the Radon-Nikodým type theorem for positive disjointness preserving orthogonally additive operators defined on a vector lattice E and taking values in a Dedekind complete vector lattice F.
M. Pliev, F. Polat
openaire   +1 more source

On the Sum of Narrow and Finite-Rank Orthogonally Additive Operators

Ukrainian Mathematical Journal, 2016
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A factorization for orthogonally additive operators on Banach lattices

Journal of Mathematical Analysis and Applications, 2019
The author introduces the following notion: A monotone map $T$ from of a vector lattice $E$ or a subset of the positive cone of $E$ is a generalized orthomorphism, provided that $Tf$ is orthogonal to $g$ when $f$ and $g$ are orthogonal members of the domain of $T$. Some criteria are given for a monotone orthogonally additive mapping to be a generalized
openaire   +2 more sources