EUDML

Currently displaying 1 – 7 of 7

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Hermitian operators on $H_{E}^{\infty}$ and $S_{}^{\infty}$

James Jamison — 2013

Colloquium Mathematicae

A complete characterization of bounded and unbounded norm hermitian operators on $H_{E}^{\infty}$ is given for the case when E is a complex Banach space with trivial multiplier algebra. As a consequence, the bi-circular projections on $H_{E}^{\infty}$ are determined. We also characterize a subclass of hermitian operators on $S_{}^{\infty}$ for a complex Hilbert space.

Algebraic reflexivity of C(X,E) and Cambern's theorem

Fernanda Botelho; James Jamison — 2008

Studia Mathematica

The algebraic and topological reflexivity of C(X) and C(X,E) are investigated by using representations for the into isometries due to Holsztyński and Cambern.

Surjective isometries on spaces of differentiable vector-valued functions

Fernanda Botelho; James Jamison — 2009

Studia Mathematica

This paper gives a characterization of surjective isometries on spaces of continuously differentiable functions with values in a finite-dimensional real Hilbert space.

Homomorphisms on algebras of Lipschitz functions

Fernanda Botelho; James Jamison — 2010

Studia Mathematica

We characterize a class of *-homomorphisms on Lip⁎(X,𝓑(𝓗 )), a non-commutative Banach *-algebra of Lipschitz functions on a compact metric space and with values in 𝓑(𝓗 ). We show that the zero map is the only multiplicative *-preserving linear functional on Lip⁎(X,𝓑(𝓗 )). We also establish the algebraic reflexivity property of a class of *-isomorphisms on Lip⁎(X,𝓑(𝓗 )).