RT Book, Section
T1 Reciprocation and Pointwise Product in Vector Lattices of Functions
A1 Beer, Gerald
A1 Garrido Carballo, María Isabel
A2 Amigó, J.M.
A2 Cánovas, M.J.
A2 López-Cerdá, M.A.
A2 López-Pellicer, M.
AB If [omega] is a vector lattice of real-valued functions defined on a set containing the constant functions such that the reciprocal of each nonvanishing member of [omega]remains in [omega] , then  [omega] is stable under pointwise product. We survey the literature on stability under reciprocation and pointwise product in the context of metric domains, with particular attention given to the uniformly continuous real-valued functions defined on them. For the first time, we present necessary and sufficient conditions for stability for the vector lattice of real-valued coarse maps defined on an arbitrary metric space. Membership of a function to this class means that its associated modulus of continuity is finite-valued, and need not entail continuity of the function.
SN 9783031300134
SN 9783031300141
SN 2194-1009
SN 2194-1017
YR 2023
FD 2023
LK https://hdl.handle.net/20.500.14352/128843
UL https://hdl.handle.net/20.500.14352/128843
LA eng
NO Beer, G., Isabel Garrido, M. Reciprocation and Pointwise Product in Vector Lattices of Functions. In: Amigó, J.M., Cánovas, M.J., López-Cerdá, M.A., López-Pellicer, M. (eds) Functional Analysis and Continuous Optimization. IMFACO 2022. Springer Proceedings in Mathematics & Statistics.2023 02 Jul; vol 424
NO Dedicated to Juan Carlos Ferrando on the occasion of his 65th birthday
NO DGES
DS Docta Complutense
RD 31 dic 2025