We propose to investigate how far Von Neumann's type inequalities extend to various classes of Banach algebras related to uniform algebras and uniform algebras. Our approach also yields estimates for the growth of norms of homogeneous polynomials in several operators on a complex Hilbert space.
Banach algebras and Von Neumann inequality
MANTERO, ANNA MARIA;
1979-01-01
Abstract
We propose to investigate how far Von Neumann's type inequalities extend to various classes of Banach algebras related to uniform algebras and uniform algebras. Our approach also yields estimates for the growth of norms of homogeneous polynomials in several operators on a complex Hilbert space.
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