The Rayleigh\(-\)Ritz minimax formula in Kaplansky\(-\)Hilbert modules
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We give the Rayleigh\(-\)Ritz minimax formula for cyclically compact operators on Kaplansky\(-\)Hilbert modules.
KeywordsKaplansky\(-\)Hilbert module Cyclically compact operator The Rayleigh\(-\)Ritz minimax formula
Mathematics Subject Classification (2000)Primary 47B60 47B06 Secondary 46A19 47B07 46L08
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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