All Schatten spaces endowed with the Schur product are Q-algebras

作者:Briet Jop*; Buhrman Harry; Lee Troy; Vidick Thomas
来源:Journal of Functional Analysis, 2012, 262(1): 1-9.
DOI:10.1016/j.jfa.2011.09.001

摘要

We prove that the Banach algebra formed by the space of compact operators on a Hilbert space endowed with the Schur product is a quotient of a uniform algebra (also known as a Q-algebra). Together with a similar result of Perez-Garcia for the trace class, this completes the answer to a long-standing question of Varopoulos.

  • 出版日期2012-1-1