Glasnik Matematicki, Vol. 52, No. 2 (2017), 289-294.

IDEALITY IN HILBERT C*-MODULES: IDEAL SUBMODULES VS. TERNARY IDEALS

Biserka Kolarec

Department of Information Science and Mathematics, Faculty of Agriculture, University of Zagreb, Sveto šimunska cesta 25, 10 000 Zagreb, Croatia
e-mail: bkudelic@agr.hr

Abstract.   The definition of ideal submodules of Hilbert C*-modules is known and classical. We introduce a definition of ternary ideals of Hilbert C*-modules and show that in general the set of norm-closed ternary ideals is richer than the set of ideal submodules.

2010 Mathematics Subject Classification.   46C50, 46L08.

Key words and phrases.   Hilbert C*-modules, ideal submodules, ternary homomorphisms, ternary ideals.


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DOI: 10.3336/gm.52.2.08


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