Results 21 to 30 of about 350,150 (192)

POLYANALYTIC FUNCTIONS ON BANACH MANIFOLDS

open access: yesJournal of Pure and Applied Mathematics: Advances and Applications, 2017
A. Daghighi
semanticscholar   +2 more sources

Global Persistence of the Unit Eigenvectors of Perturbed Eigenvalue Problems in Hilbert Spaces: The Odd Multiplicity Case

open access: yesMathematics, 2021
We study the persistence of eigenvalues and eigenvectors of perturbed eigenvalue problems in Hilbert spaces. We assume that the unperturbed problem has a nontrivial kernel of odd dimension and we prove a Rabinowitz-type global continuation result.
Pierluigi Benevieri   +3 more
doaj   +1 more source

On Darboux Theorem for symplectic forms on direct limits of symplectic Banach manifolds [PDF]

open access: yesInternational Journal of Geometric Methods in Modern Physics (IJGMMP), 2018
Given an ascending sequence of weak symplectic Banach manifolds on which the Darboux Theorem is true, we can ask about conditions under which the Darboux Theorem is also true on the direct limit.
F. Pelletier
semanticscholar   +1 more source

Viscosity method for hierarchical variational inequalities and variational inclusions on Hadamard manifolds

open access: yesJournal of Inequalities and Applications, 2021
This article aims to introduce and analyze the viscosity method for hierarchical variational inequalities involving a ϕ-contraction mapping defined over a common solution set of variational inclusion and fixed points of a nonexpansive mapping on Hadamard
Doaa Filali   +4 more
doaj   +1 more source

On real analytic Banach manifolds [PDF]

open access: yesJournal of the London Mathematical Society, 2009
Let $X$ be a real Banach space with an unconditional basis (e.g., $X=\ell_2$ Hilbert space), $ \subset X$ open, $M\subset $ a closed split real analytic Banach submanifold of $ $, $E\to M$ a real analytic Banach vector bundle, and ${\Cal A}^E\to M$ the sheaf of germs of real analytic sections of $E\to M$.
Patyi, Imre, Simon, Scott
openaire   +2 more sources

Spectral sets as Banach manifolds [PDF]

open access: yesPacific Journal of Mathematics, 1985
Let A be a commutative Banach algebra, and M a closed analytic submanifold of \(C^ n\). In case A is semisimple, the spectral set \(A_ M\) may be defined as \(A_ M=\{a\in A^ n:sp(a_ 1,...,a_ n)\subset M\},\) if A is not semisimple, a more complicated definition involving the holomorphic functional calculus must be given. For example, if A is a function
Larotonda, Angel, Zalduendo, Ignacio
openaire   +3 more sources

Stochastic processes on totally disconnected topological groups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
Stochastic processes on totally disconnected topological groups are investigated. In particular, they are considered for diffeomorphism groups and loop groups of manifolds on non-Archimedean Banach spaces.
S. V. Ludkovsky
doaj   +1 more source

On the generalization of the Darboux theorem

open access: yesPracì Mìžnarodnogo Geometričnogo Centru, 2019
Darboux theorem to more general context of Frechet manifolds we face an obstacle:  in general vector fields do not have local flows. Recently, Fr\'{e}chet geometry has been developed in terms of projective limit of Banach manifolds.
Kaveh Eftekharinasab
doaj   +1 more source

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