M. Popov

activity

20012022

most citedSome remarks on orthogonally additive operators on Riesz spaces

1 citations · 2 across the 8 of their papers we have counts for

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math.FA2010

On the numerical radius of operators in Lebesgue spaces

Miguel Martin, Javier Meri, Mikhail Popov

We show that the absolute numerical index of the space $L_{p} (μ)$ 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|\, dμ\, : \ x\i…

math.FA2010

Numerical index of absolute sums of Banach spaces

Miguel Martín, Javier Merí, Mikhail Popov +1

We study the numerical index of absolute sums of Banach spaces, giving general conditions which imply that the numerical index of the sum is less or equal than the infimum of the n…