Izvorni znanstveni članak

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

Sažetak

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.

Ključne riječi

Hilbert C*-modules; ideal submodules; ternary homomorphisms; ternary ideals

Hrčak ID:

189335

URI

https://hrcak.srce.hr/189335

Datum izdavanja:

13.11.2017.

Posjeta: 1.407 *