engleski

Frames and outer frames in Hilbert C*-modules

A Hilbert C*-module over a C*-algebra A is a right A-module X equipped with an A-valued inner product such that X is a Banach space with respect to the norm induced from the norm on A. Hilbert C*-modules generalize Hilbert spaces, as well as C*-algebras. In the modular frame theory one of the most important Hilbert C*-modules is the generalized Hilbert space over A. Modular frames were introduced by M. Frank and D. Larson. In their papers they showed that many of the most important results from the Hilbert space frame theory still hold. The concept of outer frames for Hilbert C*-modules was introduced by Arambašić and Bakić - the only difference between frames and outer frames is that some of the vectors of outer frames belong to the multiplier module of X and not to X. In this talk we present some results on outer frames. This is a joint work with Damir Bakić.

Hilbert C*-modules ; frames ; outer frames

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