An example for Gelfand's theory of commutative Banach algebras

Wolfgang Schwarz; Thomas Maxsein; Paul Smith

Mathematica Slovaca (1991)

  • Volume: 41, Issue: 3, page 299-310
  • ISSN: 0139-9918

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Schwarz, Wolfgang, Maxsein, Thomas, and Smith, Paul. "An example for Gelfand's theory of commutative Banach algebras." Mathematica Slovaca 41.3 (1991): 299-310. <http://eudml.org/doc/32412>.

@article{Schwarz1991,
author = {Schwarz, Wolfgang, Maxsein, Thomas, Smith, Paul},
journal = {Mathematica Slovaca},
keywords = {exponential functions; supremum-norm; commutative Banach algebras; maximal ideal spaces; Ramanujan sums; Gelfand transform; uniform almost- even functions; uniform almost-periodic functions; characterization of additive functions; characterization of multiplicative function},
language = {eng},
number = {3},
pages = {299-310},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {An example for Gelfand's theory of commutative Banach algebras},
url = {http://eudml.org/doc/32412},
volume = {41},
year = {1991},
}

TY - JOUR
AU - Schwarz, Wolfgang
AU - Maxsein, Thomas
AU - Smith, Paul
TI - An example for Gelfand's theory of commutative Banach algebras
JO - Mathematica Slovaca
PY - 1991
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 41
IS - 3
SP - 299
EP - 310
LA - eng
KW - exponential functions; supremum-norm; commutative Banach algebras; maximal ideal spaces; Ramanujan sums; Gelfand transform; uniform almost- even functions; uniform almost-periodic functions; characterization of additive functions; characterization of multiplicative function
UR - http://eudml.org/doc/32412
ER -

References

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  1. DE BRUIJN N. G., Bijna periodieke multiplicative nineties, Nieuw Arch. Wiskd. 32 (1943), 81-95. (1943) 
  2. GELFAND I. M., Normed Rings, Mat. Sb. 9 (1941), 3-24. (1941) 
  3. HEWITT E., ROSS K. A., Abstract Harmonic Analysis, I, II, Berlin-Heidelberg-New York 1963, 1970. (1963) MR0156915
  4. KRYŽIUS Z., Almost even arithmetical functions on semigroups, (Russian). Litov. Mat. Sb. 25 (1985), No. 2, 90-101. (1985) MR0814459
  5. KRIŽIUS Z., Limit periodic arithmetical functions, (Russian). Litov. Mat. Sb. 25 (1985), No. 3, 93-103. (1985) MR0823646
  6. MAUCLAIRE J. L., Intégration et Théorie des Nombres, Paris 1986. (1986) Zbl0577.10039MR0860561
  7. RUDIN W., Real and Complex Analysis, New York, St. Louis et al., 1966. (1966) Zbl0142.01701MR0210528
  8. RUDIN W., Functional Analysis, New York, St. Louis et al., 1973. (1973) Zbl0253.46001MR0365062
  9. SCHWARZ W., Remarks on the theorem of Elliott and Daboussi, and applications, In Proc. 20 th sem. Warszawa 1982. Banach Center Publications 17, Warszawa 1985, pp. 463-498. (1982) MR0840490
  10. SCHWARZ W., SPILKER J., Eine Anwendung des Approximationssatzes von Weierstraß-Stone auf Ramanujan-Summen, Nieuw Arch. Wiskd. (3) 19 (1971), 198-209. (1971) Zbl0221.10007MR0332704
  11. SCHWARZ W., SPILKER J., Mean values and Ramanujan expansions of almost even arithmetical functions, In Coll. Math. Soc. J. Bolyai 13. Topics in Number Theory Debreczen, 1974, pp. 315-357. (1974) MR0447165

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