On the Role of the Projection Operator in the Chordal Transform Operator
DOI:
https://doi.org/10.56714/bjrs.52.1.4.Keywords:
Self- adjoint,, Projection operator, chordal transform operator, Schatten P-norm, Hilbert Space, Hilbert-Schmidt norm, Kernal of Chordal transformAbstract
This paper investigates the projection operator in chordal transform connected with bounded linear operator on a separable Hilbert space. One projection operator is introduced by expanding a normalized form of the generalized derivation induced by the given operator, leading to a new formulation of a chordal transform. In addition, the Hilbert-Schmidt norm, Schatten P-norm and structural properties of the projection operator in chordal transform are examined in the case of self-adjoined operator, with providing the comparison between the new form of chordal transform and corresponding the generalized derivation
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