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A Factorization Theorem for Multiplier Algebras of Reproducing Kernel Hilbert Spaces
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- Journal:
- Canadian Mathematical Bulletin / Volume 56 / Issue 2 / 01 June 2013
- Published online by Cambridge University Press:
- 20 November 2018, pp. 400-406
- Print publication:
- 01 June 2013
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- Article
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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 
$\left( {{A}_{1}}\left( 1 \right) \right)$.
