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1
Content available remote

Hermitian operators on $H^{∞}_E$ and $S^{∞}_{𝓚}$

100%
Jamison J.
Colloquium Mathematicum
|
2013
|
tom 130
|
nr 1
51-59
EN
A complete characterization of bounded and unbounded norm hermitian operators on $H^{∞}_E$ is given for the case when E is a complex Banach space with trivial multiplier algebra. As a consequence, the bi-circular projections on $H^{∞}_E$ are determined. We also characterize a subclass of hermitian operators on $S^{∞}_{𝓚}$ for 𝓚 a complex Hilbert space.
2
Content available remote

Surjective isometries on spaces of differentiable vector-valued functions

64%
Botelho F., Jamison J.
Studia Mathematica
|
2009
|
tom 192
|
nr 1
39-50
EN
This paper gives a characterization of surjective isometries on spaces of continuously differentiable functions with values in a finite-dimensional real Hilbert space.
3
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Homomorphisms on algebras of Lipschitz functions

64%
Botelho F., Jamison J.
Studia Mathematica
|
2010
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tom 199
|
nr 1
95-106
EN
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 )).
4
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Algebraic reflexivity of C(X,E) and Cambern's theorem

64%
Botelho F., Jamison J.
Studia Mathematica
|
2008
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tom 186
|
nr 3
295-302
EN
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.
5
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Hermitian operators on Lipschitz function spaces

51%
Botelho F., Jamison J., Jiménez-Vargas A., Villegas-Vallecillos M.
Studia Mathematica
|
2013
|
tom 215
|
nr 2
127-137
EN
This paper characterizes the hermitian operators on spaces of Banach-valued Lipschitz functions.
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