New Examples of Non-complete Pick Kernels |
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Authors: | António Serra |
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Affiliation: | (1) Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal |
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Abstract: | We construct continuous families of non-complete Pick kernels on countable sets and show that they are preserved by an operation introduced by S. Shimorin. In the infinite case the multiplier algebra is l∞ and there exist non-constant multipliers whose operator norms equal their supremum norms. |
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Keywords: | Primary 47A57(46E22) Secondary 15A63(47A07) |
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