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Positivity

, Volume 19, Issue 2, pp 347–354 | Cite as

The Rayleigh\(-\)Ritz minimax formula in Kaplansky\(-\)Hilbert modules

  • Uğur GönüllüEmail author
Article

Abstract

We give the Rayleigh\(-\)Ritz minimax formula for cyclically compact operators on Kaplansky\(-\)Hilbert modules.

Keywords

Kaplansky\(-\)Hilbert module Cyclically compact operator The Rayleigh\(-\)Ritz minimax formula 

Mathematics Subject Classification (2000)

Primary 47B60 47B06 Secondary 46A19 47B07 46L08 

Notes

Acknowledgments

The author sincerely thanks Prof. Anatoly Kusraev for his hospitality during the author’s stay in the Southern Mathematical Institute in Vladikavkaz, Russia, where the present work has been carried out as part of the author’s PhD thesis.

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Copyright information

© Springer Basel 2014

Authors and Affiliations

  1. 1.Department of Mathematics and Computer Scienceİstanbul Kültür UniversityBakırköy Turkey

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