Interpolating sequences on uniform algebras

Pablo Galindo; Mikael Lindström; Alejandro Miralles

doi:10.1016/j.top.2009.11.009

Interpolating sequences on uniform algebras

Pablo Galindo, Mikael Lindström, Alejandro Miralles^*

^*Tämän työn vastaava kirjoittaja

Matematiikka

Tutkimustuotos: Lehtiartikkeli › Artikkeli › Tieteellinen › vertaisarvioitu

4 Sitaatiot (Scopus)

Abstrakti

We consider the problem of whether a given interpolating sequence for a uniform algebra yields linear interpolation. A positive answer is obtained when we deal with dual uniform algebras. Further we prove that if the Carleson generalized condition is sufficient for a sequence to be interpolating on the algebra of bounded analytic functions on the unit ball of c₀, then it is sufficient for any dual uniform algebra.

Alkuperäiskieli	Englanti
Sivut	111-118
Sivumäärä	8
Julkaisu	Topology
Vuosikerta	48
Numero	2-4
DOI - pysyväislinkit	https://doi.org/10.1016/j.top.2009.11.009
Tila	Julkaistu - kesäk. 2009
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

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10.1016/j.top.2009.11.009

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title = "Interpolating sequences on uniform algebras",

abstract = "We consider the problem of whether a given interpolating sequence for a uniform algebra yields linear interpolation. A positive answer is obtained when we deal with dual uniform algebras. Further we prove that if the Carleson generalized condition is sufficient for a sequence to be interpolating on the algebra of bounded analytic functions on the unit ball of c0, then it is sufficient for any dual uniform algebra.",

keywords = "Analytic function, Interpolating sequence, Pseudohyperbolic distance, Uniform algebra",

author = "Pablo Galindo and Mikael Lindstr{\"o}m and Alejandro Miralles",

note = "Funding Information: Supported by Project MTM 2007-064521 (MEC-FEDER, Spain). Alejandro Miralles was also supported by the Juan de la Cierva programme (MICINN, Spain). ",

year = "2009",

month = jun,

doi = "10.1016/j.top.2009.11.009",

language = "English",

volume = "48",

pages = "111--118",

journal = "Topology",

issn = "0040-9383",

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T1 - Interpolating sequences on uniform algebras

AU - Galindo, Pablo

AU - Lindström, Mikael

AU - Miralles, Alejandro

N1 - Funding Information: Supported by Project MTM 2007-064521 (MEC-FEDER, Spain). Alejandro Miralles was also supported by the Juan de la Cierva programme (MICINN, Spain).

PY - 2009/6

Y1 - 2009/6

N2 - We consider the problem of whether a given interpolating sequence for a uniform algebra yields linear interpolation. A positive answer is obtained when we deal with dual uniform algebras. Further we prove that if the Carleson generalized condition is sufficient for a sequence to be interpolating on the algebra of bounded analytic functions on the unit ball of c0, then it is sufficient for any dual uniform algebra.

AB - We consider the problem of whether a given interpolating sequence for a uniform algebra yields linear interpolation. A positive answer is obtained when we deal with dual uniform algebras. Further we prove that if the Carleson generalized condition is sufficient for a sequence to be interpolating on the algebra of bounded analytic functions on the unit ball of c0, then it is sufficient for any dual uniform algebra.

KW - Analytic function

KW - Interpolating sequence

KW - Pseudohyperbolic distance

KW - Uniform algebra

UR - http://www.scopus.com/inward/record.url?scp=77249145821&partnerID=8YFLogxK

U2 - 10.1016/j.top.2009.11.009

DO - 10.1016/j.top.2009.11.009

M3 - Article

AN - SCOPUS:77249145821

SN - 0040-9383

VL - 48

SP - 111

EP - 118

JO - Topology

JF - Topology

IS - 2-4

ER -

Interpolating sequences on uniform algebras

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