SOME ALGEBRAS OF SYMMETRIC ANALYTIC FUNCTIONS AND THEIR SPECTRA

作者：Chernega Iryna^*; Galindo Pablo; Zagorodnyuk Andriy

来源：Proceedings of the Edinburgh Mathematical Society, 2012, 55: 125-142.

DOI：10.1017/S0013091509001655

• Banach spaces
• polynomials
• symmetric polynomials
• symmetric and subsymmetric analytic functions of bounded type
• spectra of algebras

In the spectrum of the algebra of symmetric analytic functions of bounded type on l(p), 1 %26lt;= p %26lt; + infinity, and along the same lines as the general non-symmetric case, we define and study a convolution operation and give a formula for the %26apos;radius%26apos; function. It is also proved that the algebra of analytic functions of bounded type on l(1) is isometrically isomorphic to an algebra of symmetric analytic functions on a polydisc of l(1). We also consider the existence of algebraic projections between algebras of symmetric polynomials and the corresponding subspace of subsymmetric polynomials.

• 出版日期2012-2