Results 31 to 40 of about 350,150 (192)

An Alternative Surface Measures Construction in Finite-Dimensional Spaces and its Consistency with the Classical Approach

Наукові вісті Національного технічного університету України "Київський політехнічний інститут", 2017
Background. The area formulae are well known for surfaces embedded into a finite-dimensional Euclidean space. However, in the case of an infinite-dimensional Banach manifold, such formulae cannot be used.
Kateryna V. Moravetska
doaj   +1 more source

Sphere and projective space of a C*-algebra with a faithful state

Demonstratio Mathematica, 2019
Let 𝒜 be a unital C*-algebra with a faithful state ϕ. We study the geometry of the unit sphere 𝕊ϕ = {x ∈ 𝒜 : ϕ(x*x) = 1} and the projective space ℙϕ = 𝕊ϕ/𝕋.
Antunez Andrea C.
doaj   +1 more source

Group Approximation in Cayley Topology and Coarse Geometry, Part II: Fibred Coarse Embeddings

Analysis and Geometry in Metric Spaces, 2019
The objective of this series is to study metric geometric properties of disjoint unions of Cayley graphs of amenable groups by group properties of the Cayley accumulation points in the space of marked groups.
Mimura Masato, Sako Hiroki
doaj   +1 more source

On complex Banach manifolds similar to Stein manifolds [PDF]

Comptes Rendus. Mathématique, 2010
We give an abstract definition, similar to the axioms of a Stein manifold, of a class of complex Banach manifolds in such a way that a manifold belongs to the class if and only if it is biholomorphic to a closed split complex Banach submanifold of a separable Banach space.
openaire   +3 more sources

A Generalized Palais-Smale Condition in the Fr\'{e}chet space setting

Pracì Mìžnarodnogo Geometričnogo Centru, 2018
The Palais-Smale condition was introduced by Palais and Smale in the mid-sixties and applied to an extension of Morse theory to infinite dimensional Hilbert spaces.
Kaveh Eftekharinasab
doaj   +1 more source

Asymptotic Integration of Certain Differential Equations in Banach Space

Моделирование и анализ информационных систем, 2017
We investigate the problem of constructing the asymptotics for weak solutions of certain class of linear differential equations in the Banach space as the independent variable tends to infinity.
Pavel N. Nesterov
doaj   +1 more source

Skeleton Decomposition of Linear Operators in the Theory of Nonregular Systems of Partial Differential Equations

Известия Иркутского государственного университета: Серия "Математика", 2017
The linear system of partial differential equations is considered. It is assumed that there is the irreversible linear operator in the main part of the system, which enjoy the skeletal decomposition.
N.A. Sidorov, D.N. Sidorov
doaj   +1 more source

Symmetric Banach Manifolds

Irish Mathematical Society Bulletin, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Center manifolds for random dynamical systems with generalized trichotomies

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, we consider small perturbations of linear Random Dynamical Systems evolving on a Banach space and admitting a general form of trichotomy.
António Bento, Helder Vilarinho
doaj   +1 more source

Approximation of Dirac operators with δ‐shell potentials in the norm resolvent sense, II: Quantitative results

Mathematische Nachrichten, EarlyView.
Abstract This paper is devoted to the approximation of two‐ and three‐dimensional Dirac operators HV∼δΣ$H_{\widetilde{V} \delta _\Sigma }$ with combinations of electrostatic and Lorentz scalar δ$\delta$‐shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer‐Landauer [Math. Nachr.
Jussi Behrndt, Markus Holzmann, Christian Stelzer‐Landauer   +2 more
wiley   +1 more source