Results 11 to 20 of about 8,805 (137)

Bochner integrals in ordered vector spaces. [PDF]

Positivity (Dordr), 2017
We present a natural way to cover an Archimedean directed ordered vector space $E$ by Banach spaces and extend the notion of Bochner integrability to functions with values in $E$.
van Rooij ACM, van Zuijlen WB.
europepmc   +5 more sources

On Fuzzy Strong $\mathrm{\phi-b-}$Normed Spaces and Fuzzy Strong $\mathrm{\phi-b-}$Normed Algebras [PDF]

Sahand Communications in Mathematical Analysis
‎Given a continuous Archimedean t-norm and its corresponding continuous additive generator, we introduce a new approach to generate a fuzzy strong $\phi-b-$norm (FS$-\phi-b-$N).
Rasoul Tourani, Ali Reza Khoddami
doaj   +1 more source

A note on logical connectives with weak duality [PDF]

, 2015
The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-16235-5_2We study the weak duality S(x, N(x)) = N(T (x, N(x))) where S is a continuous t-conorm, T is a continuous t-norm and N is a strong negation.
Alsina Català, Claudi, Tomás Belenguer, María Santos   +1 more
core   +2 more sources

A non-archimedean Montel's theorem [PDF]

, 2011
We prove a version of Montel's theorem for analytic functions over a non-archimedean complete valued field. We propose a definition of normal family in this context, and give applications of our results to the dynamics of non-archimedean entire functions.
Berkovich, Charles Favre, Eremenko, Eugenio Trucco, Grothendieck, Jan Kiwi   +5 more
core   +3 more sources

On Indistinguishability Operators, Fuzzy Metrics and Modular Metrics

Axioms, 2017
The notion of indistinguishability operator was introduced by Trillas, E. in 1982, with the aim of fuzzifying the crisp notion of equivalence relation.
Juan-José Miñana, Oscar Valero
doaj   +1 more source

Vector spaces with an order unit

, 2009
We develop a theory of ordered *-vector spaces with an order unit. We prove fundamental results concerning positive linear functionals and states, and we show that the order (semi)norm on the space of self-adjoint elements admits multiple extensions to ...
Paulsen, Vern, Tomforde, Mark
core   +1 more source

Operator system structures on ordered spaces [PDF]

, 2009
Given an Archimedean order unit space (V,V^+,e), we construct a minimal operator system OMIN(V) and a maximal operator system OMAX(V), which are the analogues of the minimal and maximal operator spaces of a normed space.
Paulsen, Vern, Todorov, Ivan, Tomforde, Mark   +2 more
core   +1 more source

Bifurcation measures and quadratic rational maps [PDF]

, 2015
We study critical orbits and bifurcations within the moduli space of quadratic rational maps on $\mathbb{P}^1$. We focus on the family of curves, $Per_1(\lambda)$ for $\lambda$ in $\mathbb{C}$, defined by the condition that each $f\in Per_1(\lambda)$ has
DeMarco, Laura, Wang, Xiaoguang, Ye, Hexi   +2 more
core   +1 more source

Generalizing a Construction of Non-Strong Fuzzy Metrics from Metrics and Studying Their Induced Topology

Mathematics
The problem of obtaining new examples of fuzzy metrics is of interest, as this type of fuzzy measurement has been proven to be useful in engineering applications.
Olga Grigorenko, Juan-José Miñana, Simona Talia   +2 more
doaj   +1 more source

Approximation of proximities by aggregating T-indistinguishability operators [PDF]

, 2007
For a continuous Archimedean t-norm T a method to approximate a proximity relation R (i.e. a reflexive and symmetric fuzzy relation) by a T-transitive one is provided.
Garmendia, L., Recasens, J.
core   +1 more source