Abstract
Let N be a closed, separable subspace of a Hilbert space E. We can define a new norm |v|w satisfying |v|w ≤∥v∥, ∀v ∈ N and such that the topology induced by this norm is equivalent to the weak topology of N on bounded subsets of N. This can be done as follows: Let {e k} be an orthonormal basis for N. Define
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Schechter M. Infinite-dimensional linking. Duke Math J. 1998;94(3):573–595.
Schechter M. Critical point theory with weak-to-weak linking. Comm Pure Appl Math. 1998;51(11–12):1247–1254.
Schechter M. Linking methods in critical point theory. Boston: Birkhauser; 1999.
Schechter M. Infinite-dimensional sandwich pairs. Pacific J Math. 2008;235:73–88.
Schechter M. Monotonicity methods for infinite dimensional sandwich systems. Discrete Contin Dyn Syst. 2010;28(2):455–468.
Schechter M, Zou W. Weak linking. Nonlinear Anal. 2003;55(6):695–706.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2020 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Schechter, M. (2020). Infinite Dimensional Linking. In: Critical Point Theory. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-45603-0_5
Download citation
DOI: https://doi.org/10.1007/978-3-030-45603-0_5
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-45602-3
Online ISBN: 978-3-030-45603-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)