Results 1 to 10 of about 1,346 (175)

Local uniform convexity and Kadec‐Klee type properties in K‐interpolation spaces I: General Theory [PDF]

Journal of Function Spaces, 2004
We present a systematic study of the interpolation of local uniform convexity and Kadec‐Klee type properties in K‐interpolation spaces. Using properties of the K‐functional of J.Peetre, our approach is based on a detailed analysis of properties of a Banach couple and properties of a K‐interpolation functional which guarantee that a given K ...
Dodds, Peter Gerard, Dodds, Theresa Kee-Yu, Sedaev, Alexander A, Sukochev, Fyodor Anatolievich   +3 more
openaire   +3 more sources

Nonlinear analysis in p-vector spaces for single-valued 1-set contractive mappings

Fixed Point Theory and Algorithms for Sciences and Engineering, 2022
The goal of this paper is to develop some fundamental and important nonlinear analysis for single-valued mappings under the framework of p-vector spaces, in particular, for locally p-convex spaces for 0 < p ≤ 1 $0 < p \leq 1$ .
George Xianzhi Yuan
doaj   +1 more source

Fixed point theorems and applications in p-vector spaces

Fixed Point Theory and Algorithms for Sciences and Engineering, 2023
The goal of this paper is to develop new fixed points for quasi upper semicontinuous set-valued mappings and compact continuous (single-valued) mappings, and related applications for useful tools in nonlinear analysis by applying the best approximation ...
George Xianzhi Yuan
doaj   +1 more source

Quantum Supermaps are Characterized by Locality [PDF]

Quantum
We provide a new characterisation of quantum supermaps in terms of an axiom that refers only to sequential and parallel composition. Consequently, we generalize quantum supermaps to arbitrary monoidal categories and operational probabilistic theories. We
Matt Wilson, Giulio Chiribella, Aleks Kissinger   +2 more
doaj   +1 more source

Locally Nearly Uniformly Convex Points in Orlicz Spaces Equipped with the Luxemburg Norm

Axioms
This research explores two novel geometric concepts—nearly convex points and locally nearly uniformly convex points within the frameworks of Banach spaces and Orlicz spaces equipped with the Luxemburg norm.
Yunan Cui, Xiaoxia Wang, Yaoming Niu
doaj   +1 more source

Theorems on the zeros of linear differential operators

Известия высших учебных заведений. Поволжский регион: Физико-математические науки
Background. Differential connections between solutions of systems of differential equations play a significant role in mathematics and mathematical physics. The operators and algebras of differential symmetry of linear homogeneous systems of differential
A.I. Fomin, V.I. Titarenko
doaj   +1 more source

On the conjugate weight function and ultradifferentiable classes of entire functions. [PDF]

Adv Oper Theory
Schindl G.
europepmc   +1 more source

A Robust Finite Element Method for Linearized Magnetohydrodynamics on General Domains. [PDF]

J Sci Comput
da Veiga LB, Lovadina C, Trezzi M.
europepmc   +1 more source

Trace theory for parabolic boundary value problems with rough boundary conditions. [PDF]

J Evol Equ
Denk R, Roodenburg FB.
europepmc   +1 more source

Median geometry for spaces with measured walls and for groups. [PDF]

Math Ann
Chatterji I, Druţu C.
europepmc   +1 more source