Department of Mathematics

Analysis and PDE

  •  Soumyashant Nayak, University of Pennsylvania
  •  Analyticity in Operator Algebras
  •  08/20/2018
  •  11:00 AM - 12:00 PM
  •  C517 Wells Hall

The title of this talk is borrowed from a seminal paper by Arveson discussing non-commutative analogues of the Hardy space H^∞(T) via the so-called subdiagonal algebras. Subdiagonal algebras are a family of non-self-adjoint operator algebras which give a common perspective to the study of some triangular operator algebras (for example, the algebra of block upper triangular matrices in M_n(C)), Dirichlet function algebras, etc. The first part of the talk will be about a non-commutative version of inner-outer factorization in finite maximal subdiagonal algebras. We will then discuss a proof of a version of Jensen's inequality in this setting which relates to some classical results by Szegö.

 

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Department of Mathematics
Michigan State University
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