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,
}