Operator theory on the tetrablock

Abstract

We study a commuting triple of bounded operators $(A,B,P)$ which has the tetrablock as a spectral set.

Major changes done and an error fixed

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• Operator Theory on the Pentablock
• A Nagy-Foias program for a c.n.u. ${\Gamma }_n$-contraction
• A family of $2\times 2$ tetrablock contractions with non-commuting fundamental operators