On the Diffeomorphisms Between Banach and Hilbert Spaces
Abstract: In this paper, we give some sufficient conditions for f: X → H to be a diffeomorphism, where X is a Banach space and H is a Hilbert space. The proof of the result is based on the mountain pass theorem. Using this result, in the final part of the paper, we prove an existence theorem for some class of integro-differential equations.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
On the Diffeomorphisms Between Banach and Hilbert Spaces ; volume:12 ; number:1 ; year:2012 ; pages:89-100 ; extent:12
Advanced nonlinear studies ; 12, Heft 1 (2012), 89-100 (gesamt 12)
- Creator
-
Idczak, Dariusz
Skowron, Andrzej
Walczak, Stanislaw
- DOI
-
10.1515/ans-2012-0105
- URN
-
urn:nbn:de:101:1-2405021718017.546898919227
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
14.08.2025, 10:48 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Idczak, Dariusz
- Skowron, Andrzej
- Walczak, Stanislaw
Other Objects (12)
Generating operators between Banach spaces
On symplectic Banach spaces
SHIFTS ON BANACH SPACES
On quasi norm attaining operators between Banach spaces
Trotter product formula on Hilbert and Banach spaces for operator-norm convergence
A note on universal operators between separable Banach spaces
Spectral decompositions on Banach spaces
On Decoupling in Banach Spaces
Banach symmetric spaces : = (Banach-symmetrische Räume)
Banach symmetric spaces : = (Banach-symmetrische Räume)
Classical Banach spaces
Classical Banach spaces
Generating operators between Banach spaces
On symplectic Banach spaces
SHIFTS ON BANACH SPACES
On quasi norm attaining operators between Banach spaces
Trotter product formula on Hilbert and Banach spaces for operator-norm convergence
A note on universal operators between separable Banach spaces
Spectral decompositions on Banach spaces
On Decoupling in Banach Spaces
Banach symmetric spaces : = (Banach-symmetrische Räume)
Banach symmetric spaces : = (Banach-symmetrische Räume)
Classical Banach spaces
Classical Banach spaces
Generating operators between Banach spaces
On symplectic Banach spaces
SHIFTS ON BANACH SPACES
On quasi norm attaining operators between Banach spaces
Trotter product formula on Hilbert and Banach spaces for operator-norm convergence
A note on universal operators between separable Banach spaces
Spectral decompositions on Banach spaces
On Decoupling in Banach Spaces
Banach symmetric spaces : = (Banach-symmetrische Räume)
Banach symmetric spaces : = (Banach-symmetrische Räume)
Classical Banach spaces