Additive Units of Product System of Hilbert Modules

Vujosevic, Biljana

Research Article

Additive Units of Product System of Hilbert Modules

Biljana Vujosevic

Abstract

In this paper we consider the notion of additive units and roots of a central unital unit in a spatial product system of two-sided Hilbert C*-modules. This is a generalization of the notion of additive units and roots of a unit in a spatial product system of Hilbert spaces introduced in [B. V. R. Bhat, M. Lindsay, M. Mukherjee, Additive units of product system, arXiv:1501.07675v1 [math.FA] 30 Jan 2015]. We introduce the notion of continuous additive unit and continuous root of a central unital unit ω in a spatial product system over C*-algebra B and prove that the set of all continuous additive units of ω can be endowed with a structure of two-sided Hilbert B - B module wherein the set of all continuous roots of ω is a Hilbert B - B submodule.

How to Cite

B. Vujosevic, Additive Units of Product System of Hilbert Modules, Int. J. Anal. Appl. 10 (2016), 71–76.

BibTeX

@article{Vujosevic2016,
  author  = {Vujosevic, Biljana},
  title   = {Additive Units of Product System of Hilbert Modules},
  journal = {Int. J. Anal. Appl.},
  volume  = {10},
  year    = {2016},
  pages   = {71--76},
  doi     = {}
}

References

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