Interpolation sets for subalgebras of l∞(Z)

S. Glasner; B. Weiss

doi:10.1007/BF02761993

Interpolation sets for subalgebras of l^∞(Z)

S. Glasner^*, B. Weiss

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

Let U be the subalgegra of l^∞(Z) generated by the minimal functions. The collection of U-interpolation sets is identified as the ideal of small subsets of Z. General theorems about the relation between invariant ideals and collections of A-interpolation sets, for subalgebras A of l^∞, are proven.

Original language	English
Pages (from-to)	345-360
Number of pages	16
Journal	Israel Journal of Mathematics
Volume	44
Issue number	4
DOIs	https://doi.org/10.1007/BF02761993
State	Published - Dec 1983

Access to Document

10.1007/BF02761993

Cite this

@article{2f48822c0a7a4da6b093c606f223c5d0,

title = "Interpolation sets for subalgebras of l∞(Z)",

abstract = "Let U be the subalgegra of l∞(Z) generated by the minimal functions. The collection of U-interpolation sets is identified as the ideal of small subsets of Z. General theorems about the relation between invariant ideals and collections of A-interpolation sets, for subalgebras A of l∞, are proven.",

author = "S. Glasner and B. Weiss",

year = "1983",

month = dec,

doi = "10.1007/BF02761993",

language = "אנגלית",

volume = "44",

pages = "345--360",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "4",

}

TY - JOUR

T1 - Interpolation sets for subalgebras of l∞(Z)

AU - Glasner, S.

AU - Weiss, B.

PY - 1983/12

Y1 - 1983/12

N2 - Let U be the subalgegra of l∞(Z) generated by the minimal functions. The collection of U-interpolation sets is identified as the ideal of small subsets of Z. General theorems about the relation between invariant ideals and collections of A-interpolation sets, for subalgebras A of l∞, are proven.

AB - Let U be the subalgegra of l∞(Z) generated by the minimal functions. The collection of U-interpolation sets is identified as the ideal of small subsets of Z. General theorems about the relation between invariant ideals and collections of A-interpolation sets, for subalgebras A of l∞, are proven.

UR - http://www.scopus.com/inward/record.url?scp=0011685093&partnerID=8YFLogxK

U2 - 10.1007/BF02761993

DO - 10.1007/BF02761993

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0011685093

SN - 0021-2172

VL - 44

SP - 345

EP - 360

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 4

ER -

Interpolation sets for subalgebras of l^∞(Z)

Abstract

Access to Document

Other files and links

Fingerprint

Cite this