engleski

Ideality in Hilbert C*-modules : ideal submodules vs. ternary ideals

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.

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

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