An infinite dimensional version of the intermediate value theorem

DOI10.1007/s11784-023-01073-9WikidataQ122397419 ScholiaQ122397419MaRDI QIDQ6115862

Alessandro Calamai, Maria Patrizia Pera, Pierluigi Benevieri, Massimo Furi

Publication date: 10 August 2023

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

topological degreeFredholm operatorsintermediate value theoremFredholm maps

Mathematics Subject Classification ID

Degree theory for nonlinear operators (47H11) (Semi-) Fredholm operators; index theories (47A53) Differentiable maps on manifolds (58C25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the degree for oriented quasi-Fredholm maps: its uniqueness and its effective extension of the Leray-Schauder degree
• Degree theory for \(C^1\) Fredholm mappings of index 0
• Orientability of Fredholm families and topological degree for orientable nonlinear Fredholm mappings
• About the sign of oriented Fredholm operators between Banach spaces
• Perturbation theory for linear operators.
• A degree associated to linear eigenvalue problems in Hilbert spaces and applications to nonlinear spectral theory
• On the homotopy classification of proper Fredholm maps into a Hilbert space
• The homotopy type of the unitary group of Hilbert space
• Orientation of Fredholm maps
• On the uniqueness of the topological degree
• Topological Analysis
• Differential Topology
• Brouwer Degree
• An Infinite Dimensional Version of Sard's Theorem
• On the concept of orientability for Fredholm maps between real Banach manifolds

This page was built for publication: An infinite dimensional version of the intermediate value theorem