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A Shift Operator on L(H^2)

Functional Analysis 2007-05-23 v1 Operator Algebras

Abstract

We give definitions and some properties of the shift operator S_{L(H^2)} and multiplication operator on L(H^2). In addition, we obtain some properties of the commutant of the shift operator S_{L(H^2)} and characterize S_{L(H^2)}-invariant subspaces.

Keywords

Cite

@article{arxiv.math/0612166,
  title  = {A Shift Operator on L(H^2)},
  author = {Yun-Su Kim},
  journal= {arXiv preprint arXiv:math/0612166},
  year   = {2007}
}

Comments

9 pages