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C*-algebras with the weak expectation property and a multivariable analogue of Ando's theorem on the numerical radius
C*-algebras the weak expectation property Ando's theorem the numerical radius
2011/8/23
Abstract: A classic theorem of T. Ando characterises operators that have numerical radius at most one as operators that admit a certain positive 2x2 operator matrix completion. In this paper we consid...
On the numerical radius of operators in Lebesgue spaces
the numerical radius Lebesgue spaces
2010/11/24
We show that the absolute numerical index of the space $L_p(\mu)$ is $p^{-1/p} q^{-1/q}$ (where $1/p+1/q=1$). In other words, we prove that $$ \sup\{\int |x|^{p-1}|Tx|\, d\mu \, : \ x\in L_p(\mu),\,\|...