Results 21 to 30 of about 109 (103)
Note on Order‐Isomorphic Isometric Embeddings of Some Recent Function Spaces
We investigate certain recently introduced ODE‐determined varying exponent Lp spaces. It turns out that these spaces are finitely representable in a concrete universal varying exponent lp space. Moreover, this can be accomplished in a natural unified fashion.
Jarno Talponen, Hugo Leiva
wiley +1 more source
Approximations of Theories of Unars
Lo´s’s theorem states that a first-order formula holds in an ultraproduct of structures if and only if it holds in “almost all” factors, where “almost all” is understood in terms of a given ultrafilter.
N.D. Markhabatov
doaj +1 more source
Is every product system concrete?
Abstract Is every product system of Hilbert spaces over a semigroup P$P$ concrete, that is, isomorphic to the product system of an E0$E_0$‐semigroup over P$P$? The answer is no if P$P$ is discrete, cancellative and does not embed in a group. However, we show that the answer is yes for a reasonable class of semigroups.
S. Sundar
wiley +1 more source
MODEL THEORY AND ULTRAPRODUCTS [PDF]
The article motivates recent work on saturation of ultrapowers from a general mathematical point of view.
openaire +2 more sources
A removal lemma for ordered hypergraphs
Abstract We prove a removal lemma for induced ordered hypergraphs, simultaneously generalizing Alon–Ben‐Eliezer–Fischer's removal lemma for ordered graphs and the induced hypergraph removal lemma. That is, we show that if an ordered hypergraph (V,G,<)$(V,G,<)$ has few induced copies of a small ordered hypergraph (W,H,≺)$(W,H,\prec)$ then there is a ...
Henry Towsner
wiley +1 more source
Approximate Preservers on Banach Algebras and C*‐Algebras
The aim of the present paper is to give approximate versions of Hua’s theorem and other related results for Banach algebras and C*‐algebras. We also study linear maps approximately preserving the conorm between unital C*‐algebras.
M. Burgos +3 more
wiley +1 more source
Accessible operators on ultraproducts of Banach spaces
We address a question by Henry Towsner about the possibility of representing linear operators between ultraproducts of Banach spaces by means of ultraproducts of nonlinear maps.
Félix Cabello Sánchez
doaj +1 more source
Finite Lattices Generating Not Finitely–Based and Nonstandard Quasivarieties
There are two well‐known and closely related problems in lattice theory: Which finite lattices generate finitely‐based quasivarieties? and Which finite lattices generate standard quasivarieties? The main goal of the paper is to contribute to both problems.
M. A. Arapbay +3 more
wiley +1 more source
On P‐ and p‐Convexity of Banach Spaces
We show that every U‐space and every Banach space X satisfying δX(1) > 0 are P(3)‐convex, and we study the nonuniform version of P‐convexity, which we call p‐convexity.
Omar Muñiz-Pérez, Stevo Stevic
wiley +1 more source
Abstract We provide two proofs of the compactness theorem for extensions of first‐order logic based on team semantics. First, we build upon Lück's [16] ultraproduct construction for team semantics and prove a suitable version of Łoś' Theorem. Second, we show that by working with suitably saturated models, we can generalize the proof of Kontinen and ...
Joni Puljujärvi +1 more
wiley +1 more source

