Open Access

Lagrangian pairs in Hilbert spaces

Abstract

Weakly Lagrangian pairs and Lagrangian pairs in a pair of Hilbert spaces $(H_1, H_2)$ are defined. The weakly Lagrangian pair and Lagrangian pair extensions in $(H_1, H_2)$ of a given weakly Lagrangian pair in $(H_1, H_2)$ are characterized and those extensions which are operators are identified. A description of all Lagrangian pair extensions in a larger pair of Hilbert spaces $(\tilde H_1, \tilde H_2)$ of a given weakly Lagrangian pair in $(H_1, H_2)$ is also given.

Article Information

 Title Lagrangian pairs in Hilbert spaces Source Methods Funct. Anal. Topology, Vol. 12 (2006), no. 1, 82-100 MathSciNet MR2210907 Copyright The Author(s) 2006 (CC BY-SA)

Authors Information

Department of Mathematics and Computing Science University of Groningen P.O. Box 800, 9700 AV Groningen The Netherlands

Citation Example

Adrian Sandovici, Lagrangian pairs in Hilbert spaces, Methods Funct. Anal. Topology 12 (2006), no. 1, 82-100.

BibTex

@article {MFAT329,
TITLE = {Lagrangian pairs in Hilbert spaces},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {12},
YEAR = {2006},
NUMBER = {1},
PAGES = {82-100},
ISSN = {1029-3531},
MRNUMBER = {MR2210907},
URL = {http://mfat.imath.kiev.ua/article/?id=329},
}