Relative Spectral Norm on Algebraic Numbers

Angel Popescu; Sobia Sultana

Rendiconti del Seminario Matematico della Università di Padova (2009)

  • Volume: 122, page 1-11
  • ISSN: 0041-8994

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Popescu, Angel, and Sultana, Sobia. "Relative Spectral Norm on Algebraic Numbers." Rendiconti del Seminario Matematico della Università di Padova 122 (2009): 1-11. <http://eudml.org/doc/108771>.

@article{Popescu2009,
author = {Popescu, Angel, Sultana, Sobia},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {spectral norm; absolute Galois group; symmetric functions},
language = {eng},
pages = {1-11},
publisher = {Seminario Matematico of the University of Padua},
title = {Relative Spectral Norm on Algebraic Numbers},
url = {http://eudml.org/doc/108771},
volume = {122},
year = {2009},
}

TY - JOUR
AU - Popescu, Angel
AU - Sultana, Sobia
TI - Relative Spectral Norm on Algebraic Numbers
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2009
PB - Seminario Matematico of the University of Padua
VL - 122
SP - 1
EP - 11
LA - eng
KW - spectral norm; absolute Galois group; symmetric functions
UR - http://eudml.org/doc/108771
ER -

References

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  1. [1] E. ARTIN, Algebraic numbers and functions, Gordon and Breach, Science Publications, New York, Paris, London, 1967. Zbl0194.35301MR237460
  2. [2] V. ALEXANDRU - N. POPESCU - A. ZAHARESCU, On the closed subfields of Cp, J. Number Theory, 68, no. 2 (1998), pp. 131-150. Zbl0901.11035MR1605907
  3. [3] V. ALEXANDRU - N. POPESCU - A. ZAHARESCU, Trace on Cp, J. Number Theory, 88 (2001), pp. 13-48. Zbl0965.11049MR1825989
  4. [4] A. D. R. CHOUDARY - A. POPESCU - N. POPESCU, On the structure of compact subsets of Cp; Acta Arith., 123, no. 3 (2006), 253-266. Zbl1105.11038MR2263257
  5. [5] L. GILMAN - M. JERISON, Rings of continuous functions, D. van Nostrand Company, Inc., 1960. Zbl0093.30001MR116199
  6. [6] N. JACOBSON, Lectures in Abstract Algebra III. Theory of Fields and Galois Theory, D. van Nostrand Company, Inc., Princeton, New York, 1964. Zbl0124.27002MR392906
  7. [7] J. NEUKIRCH, Algebraic number theory, Grund. Math. Wiss., Vol. 322 (Springer Verlag, 1999). Zbl0956.11021MR1697859
  8. [8] A. POPESCU, On some topological representations of the absolute Galois group, JP of Algebra, N. Th. & Appl., 4 (1) (2001), pp. 103-112. Zbl1067.12003MR2049689
  9. [9] E. L. POPESCU, Spectral extensions, Anal. Univ. Bucuresti Mat., 51 (2002), pp. 159-168. Zbl1084.12004MR2023532
  10. [10] N. POPESCU, Galois action on plane compacts, in: Proc. 35th Sympos. on Ring TheoryandRepresentationTheory(Okayama,2002),Okayama,2003,pp.113-120. MR1969466
  11. [11] V. PASOL - A. POPESCU - N. POPESCU, Spectral norms on valued fields, Math. Z., 238 (2001), pp. 101-114. Zbl1009.12006MR1860737
  12. [12] L. POPESCU - N. POPESCU - C. VRACIU, Completion of the spectral extension of a p-adic valuation, Rev. Roumaine Math. Pures Appl., 46 (2001), pp. 805-817. Zbl1031.12007MR1929526
  13. [13] A. POPESCU - N. POPESCU - A. ZAHARESCU, On the spectral norms of algebraic numbers, Math. Nach., 260 (2003), pp. 78-83. Zbl1048.12007MR2017705
  14. [14] A. POPESCU - N. POPESCU - A. ZAHARESCU, Galois structures on plane compacts, J. of Algebra, 270 (1) (2003), pp. 238-248. Zbl1038.12004MR2016659
  15. [15] A. POPESCU - N. POPESCU - A. ZAHARESCU, Trace series on eQK, Results Math., 43 (2003), pp. 331-342. Zbl1060.12004MR1989809
  16. [16] A. POPESCU - N. POPESCU - A. ZAHARESCU, Transcendental divisors and their critical functions, Manuscripta Math., 110 (2003), pp. 527-541. Zbl1027.12004MR1975102
  17. [17] A. POPESCU - N. POPESCU - A. ZAHARESCU, A Galois theory for the Banach algebra of continuous symmetric functions on absolute Galois groups, Results Math., 45 (2004), pp. 349-358. Zbl1142.11376MR2063742
  18. [18] W. RUDIN, Real and Complex Analysis, McGraw-Hill International editions Mathematics Series (New York, Dusseldorf), 1987. Zbl0925.00005MR924157
  19. [19] A. ZAHARESCU, Some notes on eQ, a letter to N. Popescu and A. Popescu, January 6, 2000. 

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