English

Conditional expectation on non-commutative $H^{(r,s)}_{p}(\mathcal A;\ell_{\infty})$ and $H_{p}(\mathcal A;\ell_{1})$ spaces : semifinite case

Operator Algebras 2020-02-27 v1 Functional Analysis

Abstract

In this paper we investigate the conditional expectation on the non-commutative Hp(r,s)(A;)H^{(r,s)}_{p}(\mathcal A;\ell_{\infty}) and Hp(A;1)H_{p}(\mathcal A;\ell_{1}) spaces associated with semifinite subdiagonal algebra, and prove the contractibility of the underlying conditional expectation on these spaces.

Keywords

Cite

@article{arxiv.1909.00534,
  title  = {Conditional expectation on non-commutative $H^{(r,s)}_{p}(\mathcal A;\ell_{\infty})$ and $H_{p}(\mathcal A;\ell_{1})$ spaces : semifinite case},
  author = {D. Dauitbek and K. S. Tulenov},
  journal= {arXiv preprint arXiv:1909.00534},
  year   = {2020}
}