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A Factorization Theorem for Multiplier Algebras of Reproducing Kernel Hilbert Spaces

Published online by Cambridge University Press:  20 November 2018

Bebe Prunaru*
Affiliation:
Institute of Mathematics “Simion Stoilow” of the Romanian Academy, RO-014700 Bucharest, Romania e-mail: [email protected]
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Abstract.

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Let $\left( X,\,B,\,\mu \right)$ be a $\sigma $-finite measure space and let $H\,\subset \,{{L}^{2}}\left( X,\,\mu \right)$ be a separable reproducing kernel Hilbert space on $X$. We show that the multiplier algebra of $H$ has property $\left( {{A}_{1}}\left( 1 \right) \right)$.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2013

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