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- W60844158 abstract "We show the following: Let B be a two dimensional commutative Banach algebra with identity. If B satisfiesT∈B,∥T∥⩽1⇒∥f(T)∥⩽1whenever f is a polynomial satisfying |f(z)|⩽1(|z|⩽1), then B is isometric to a subalgebra of the algebra B(H) of all bounded linear operators on some Hilbert space H, and B satisfiesTk∈B,∥Tk∥⩽1(k=1,…,n)⇒∥f(T1,…,Tn)∥⩽1whenever f is a polynomial in n variables satisfying |f(z1,…,zn)|⩽1 (|zk|⩽1,k=1,…,n), for all n." @default.
- W60844158 created "2016-06-24" @default.
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- W60844158 date "2001-06-01" @default.
- W60844158 modified "2023-09-24" @default.
- W60844158 title "Two dimensional commutative Banach algebras and von Neumann inequality" @default.
- W60844158 hasPublicationYear "2001" @default.
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