Lagrangian pairs in Hilbert spaces

Authors

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

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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.

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Published

2006-03-25

Issue

Vol. 12 No. 1 (2006)

Section

Articles

How to Cite

Sandovici, A. “Lagrangian Pairs in Hilbert Spaces”. Methods of Functional Analysis and Topology, vol. 12, no. 1, Mar. 2006, pp. 82-100, https://zen.imath.kiev.ua/index.php/mfat/article/view/304.