Some properties of endomorphisms of Lipschitz algebras
Herbert Kamowitz, Stephen Scheinberg (1990)
Studia Mathematica
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Herbert Kamowitz, Stephen Scheinberg (1990)
Studia Mathematica
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Fernanda Botelho, James Jamison (2010)
Studia Mathematica
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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 )).
Heiko Berninger, Dirk Werner (2003)
Extracta Mathematicae
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R. Bhaskaran (1983)
Compositio Mathematica
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Robert Fraser (1969)
Studia Mathematica
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J. Grzybowski, D. Pallaschke, R. Urbański (2007)
Control and Cybernetics
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W. Badé, P. Curtis, K. Laursen (1980)
Studia Mathematica
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K. de Leeuw (1961)
Studia Mathematica
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Hironao Koshimizu (2011)
Open Mathematics
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We characterize finite codimensional linear isometries on two spaces, C (n)[0; 1] and Lip [0; 1], where C (n)[0; 1] is the Banach space of n-times continuously differentiable functions on [0; 1] and Lip [0; 1] is the Banach space of Lipschitz continuous functions on [0; 1]. We will see they are exactly surjective isometries. Also, we show that C (n)[0; 1] and Lip [0; 1] admit neither isometric shifts nor backward shifts.
Nigel J. Kalton (2004)
Collectanea Mathematica
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We study the structure of Lipschitz and Hölder-type spaces and their preduals on general metric spaces, and give applications to the uniform structure of Banach spaces. In particular we resolve a problem of Weaver who asks wether if M is a compact metric space and 0 < α < 1, it is always true the space of Hölder continuous functions of class α is isomorphic to l. We show that, on the contrary, if M is a compact convex subset of a Hilbert space this isomorphism holds if...
Gustavo Corach, Fernando Suárez (1987)
Studia Mathematica
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