Results 31 to 40 of about 123,688 (136)

Pettis integrability of fuzzy mappings with values in arbitrary Banach spaces

, 2017
In this paper we study the Pettis integral of fuzzy mappings in arbitrary Banach spaces. We present some properties of the Pettis integral of fuzzy mappings and we give conditions under which a scalarly integrable fuzzy mapping is Pettis ...
Di Piazza, L., Marraffa, V.
core   +1 more source

A distributional approach to the geometry of dislocations at the mesoscale [PDF]

, 2007
We develop a theory to represent dislocated single crystals at the mesoscopic scale by considering concentrated effects, governed by the distribution theory combined with multiple-valued kinematic fields.
Dupret, F., Van Goethem, Nicolas
core   +2 more sources

A random string with reflection in a convex domain

, 2010
We study the motion of a random string in a convex domain $O$ in $\R^d$, namely the solution of a vector-valued stochastic heat equation, confined in the closure of $O$ and reflected at the boundary of $O$.
Bounebache, Said
core  

Vector measures on delta-rings and representation theorems of banach lattices

, 2011
The space of integrable functions with respect to a vector measure which is already interesting by itself, finds applications in important problems as the integral representation and the study of the optimal domain of linear operators or the ...
J. Blanco, M. Aránzazu
semanticscholar   +1 more source

Sums and averages [PDF]

, 2010
These informal notes are concerned with sums and averages in various situations in analysis.Comment: 51 ...
Semmes, Stephen
core  

Matrix Measures and Finite Rank Perturbations of Self-adjoint Operators

, 2019
Matrix-valued measures provide a natural language for the theory of finite rank perturbations. In this paper we use this language to prove some new perturbation theoretic results.
Liaw, Constanze, Treil, Sergei
core  

Dynamics measured in a non-Archimedean field

, 2012
We study dynamical systems using measures taking values in a non-Archimedean field. The underlying space for such measure is a zero-dimensional topological space. In this paper we elaborate on the natural translation of several notions, e.g., probability
Kool, Janne
core   +1 more source

The Carathéodory extension theorem for vector valued measures

, 1978
Joseph G Kupka
semanticscholar   +1 more source

Integration of vector-valued functions with respect to vector measures defined on δ-rings

, 2011
N. Chakraborty, Santwana Basu
semanticscholar   +1 more source

Interchange of vector valued integrals when the measures are Bochner or Pettis indefinite integrals

Bulletin of the Australian Mathematical Society, 1979
A. Korvin, C. Roberts
semanticscholar   +1 more source