La proprietà di estensione moltiplicativa nelle algebre di Banach

Sandro Levi

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1976)

  • Volume: 61, Issue: 5, page 333-336
  • ISSN: 0392-7881

Abstract

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The problem (set in [2]) of characterizing the subspaces of a commutative Banach algebra enjoying the property of multiplicative extension is solved under general assumptions and examples are given. Proofs will appear in another paper.

How to cite

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Levi, Sandro. "La proprietà di estensione moltiplicativa nelle algebre di Banach." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 61.5 (1976): 333-336. <http://eudml.org/doc/291046>.

@article{Levi1976,
abstract = {The problem (set in [2]) of characterizing the subspaces of a commutative Banach algebra enjoying the property of multiplicative extension is solved under general assumptions and examples are given. Proofs will appear in another paper.},
author = {Levi, Sandro},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {ita},
month = {11},
number = {5},
pages = {333-336},
publisher = {Accademia Nazionale dei Lincei},
title = {La proprietà di estensione moltiplicativa nelle algebre di Banach},
url = {http://eudml.org/doc/291046},
volume = {61},
year = {1976},
}

TY - JOUR
AU - Levi, Sandro
TI - La proprietà di estensione moltiplicativa nelle algebre di Banach
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1976/11//
PB - Accademia Nazionale dei Lincei
VL - 61
IS - 5
SP - 333
EP - 336
AB - The problem (set in [2]) of characterizing the subspaces of a commutative Banach algebra enjoying the property of multiplicative extension is solved under general assumptions and examples are given. Proofs will appear in another paper.
LA - ita
UR - http://eudml.org/doc/291046
ER -

References

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  1. BOURBAKI, N. (1967) - Théories spectrales, Hermann, Paris. 
  2. HEWITT, E. (1963) - Measure algebras on locally compact abelian groups: a case history in functional analysis, «Studia Math. (Ser. Specjalna) Zeszyt», 1, 41-52. Zbl0116.08702MR147878
  3. HEWITT, E. e KAKUTANI, S. (1960) - A class of multiplicative linear functionals on the measure algebra of a locally compact abelian group, «Illinois J. Math.», 4, 553-574. Zbl0100.11803MR123198
  4. PHELPS, R. R. (1964-65) - A problem of Hewitt on restrictions of multiplicative linear functionals, «Studia Math.», 25, 1-3. MR180834DOI10.4064/sm-25-1-1-3
  5. SIMON, A. B. (1963) - The ideal space and Shilov boundary of a subalgebra of measures on a group, «J. Math. Anal. Appl.», 6, 266-276. Zbl0124.07001MR149314DOI10.1016/0022-247X(63)90008-8
  6. WILLIAMSON, J. H. (1966) - Banach algebra elements with independent powers, and theorems of Wiener-Pitt type. Function algebras (Proc. Internat. Sympos. on function algebras), Tulane Univ., 1965, pp. 186-197), Scott-Foresman, Chicago111. MR198143

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