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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.


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Article Information

TitleLagrangian pairs in Hilbert spaces
SourceMethods Funct. Anal. Topology, Vol. 12 (2006), no. 1, 82-100
MathSciNet MR2210907
CopyrightThe Author(s) 2006 (CC BY-SA)

Authors Information

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


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Citation Example

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


BibTex

@article {MFAT329,
    AUTHOR = {Sandovici, Adrian},
     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},
       URL = {http://mfat.imath.kiev.ua/article/?id=329},
}


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