Add to Outlook calendar Add to Google calendar

APRG Seminar

Title: A $z^k$-invariant subspace without the wandering property
Speaker: Daniel Seco (ICMAT, Madrid, Spain)
Date: 14 November 2018
Time: 4 pm
Venue: LH-1, Mathematics Department

We study operators of multiplication by $z^k$ in Dirichlet-type spaces $D_\alpha$. We establish the existence of $k$ and $\alpha$ for which some $z^k$-invariant subspaces of $D_\alpha$ do not satisfy the wandering property. As a consequence of the proof, any Dirichlet-type space accepts an equivalent norm under which the wandering property fails for some space for the operator of multiplication by $z^k$ for any $k \geq 6$.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 15 Jul 2024