engleski

Introducing preorder to Hilbert C*-modules

We comment on the triangle (in)equality for a C*-valued norm defined on a Hilbert C*-module V. A C*-valued norm is used to define a preorder on V. In this preorder, one can interpolate the convex combination of two elements "between" any two elements of V that satisfy certain condition.

Hilbert C*-module; C*-valued norm; triangle (in)equality; preorder

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