Glasnik matematički, Vol. 52 No. 2, 2017.
Original scientific paper
https://doi.org/10.3336/gm.52.2.08
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
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.
Keywords
Hilbert C*-modules; ideal submodules; ternary homomorphisms; ternary ideals
Hrčak ID:
189335
URI
Publication date:
13.11.2017.
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