The convolution operation on the spectra of algebras of symmetric analytic functions

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DC Field	Value	Language
dc.contributor.author	Chernega, Iryna	-
dc.contributor.author	Galindo, Pablo	-
dc.contributor.author	Zagorodnyuk, Andriy	-
dc.date.accessioned	2020-04-02T07:55:29Z	-
dc.date.available	2020-04-02T07:55:29Z	-
dc.date.issued	2012-05-27	-
dc.identifier.issn	0022-247X	-
dc.identifier.uri	http://hdl.handle.net/123456789/3738	-
dc.description	doi:10.1016/j.jmaa.2012.04.087	uk_UA
dc.description.abstract	We show that the spectrum of the algebra of bounded symmetric analytic functions on ℓp, 1 ≤ p < +∞with the symmetric convolution operation is a commutative semigroup with the cancellation law for which we discuss the existence of inverses. For p = 1, a representation of the spectrum in terms of entire functions of exponential type is obtained which allows us to determine the invertible elements.	uk_UA
dc.description.sponsorship	The first and third authors were supported by Grant F35/531-2011 of DFFD of Ukraine. The second author was supported partially by Project MEC2011-22457 and Grant PR2011-0268.	uk_UA
dc.language.iso	en_US	uk_UA
dc.publisher	Elsevier	uk_UA
dc.relation.ispartofseries	395;569–577	-
dc.subject	Polynomials and analytic functions on Banach spaces Symmetric polynomials Spectra of algebras Entire functions of exponential type	uk_UA
dc.title	The convolution operation on the spectra of algebras of symmetric analytic functions	uk_UA
dc.type	Article	uk_UA
Appears in Collections:	Статті та тези (ФМІ)

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