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Solvability of the $H^\infty$ algebraic Riccati equation in Banach algebras
Riccati equations Banach algebras Systems over rings H1 control Spatially distributed dynamical systems
2011/9/21
Abstract: Let $R$ be a commutative complex unital semisimple Banach algebra with the involution $\cdot ^\star$. Sufficient conditions are given for the existence of a stabilizing solution to the $H^\i...
A diagrammatic category for generalized Bott-Samelson bimodules and a diagrammatic categorification of induced trivial modules for Hecke algebras
diagrammatic category generalized Bott-Samelson bimodules diagrammatic categorification of induced trivial modules for Hecke algebras
2010/12/3
We consider the problem of enumerating permutations in the symmetric group on n elements
which avoid a given set of consecutive pattern S, and in particular computing asymptotics as n
tends to infin...