The norm of uniform convergence on the k -algebraic maximal spectrum of an algebra over a non-archimedean valuation field k

Ulrich Güntzer

Mémoires de la Société Mathématique de France (1974)

  • Volume: 39-40, page 101-121
  • ISSN: 0249-633X

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Güntzer, Ulrich. "The norm of uniform convergence on the $k$-algebraic maximal spectrum of an algebra over a non-archimedean valuation field $k$." Mémoires de la Société Mathématique de France 39-40 (1974): 101-121. <http://eudml.org/doc/94697>.

@article{Güntzer1974,
author = {Güntzer, Ulrich},
journal = {Mémoires de la Société Mathématique de France},
language = {eng},
pages = {101-121},
publisher = {Société mathématique de France},
title = {The norm of uniform convergence on the $k$-algebraic maximal spectrum of an algebra over a non-archimedean valuation field $k$},
url = {http://eudml.org/doc/94697},
volume = {39-40},
year = {1974},
}

TY - JOUR
AU - Güntzer, Ulrich
TI - The norm of uniform convergence on the $k$-algebraic maximal spectrum of an algebra over a non-archimedean valuation field $k$
JO - Mémoires de la Société Mathématique de France
PY - 1974
PB - Société mathématique de France
VL - 39-40
SP - 101
EP - 121
LA - eng
UR - http://eudml.org/doc/94697
ER -

References

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  1. [1] GERRITZEN, L. : Die Norm der gleichmäβigen Konvergenz auf reduzierten affinoiden Algebren Journ. f. reine u. angew. Math. 231, 114-120 (1968). Zbl0159.33104MR37 #4291
  2. [2] GRAUERT, H. and REMMERT, R. : Nichtarchimedische Funktionentheorie. Weierstraß-Festschrift, Wissenschaftl. Abh. Arbeitsgem. f. Forsch. Nordrhein-Westfalen 33, 393-476 (1966). Zbl0146.31501MR33 #7578
  3. [3] GRUSON, L. : Fibrés vectoriels sur un polydisque ultramétrique Ann. scient. Ec. Norm. Sup. (4) 1, 45-89 (1968). Zbl0197.17401MR37 #5228
  4. [4] GÜNTZER, U. : Valuation theory and spectral norm on non-archimedean function algebras. Proceedings of the 4th session of the Greek Mathematical Society 1971, 54-68 (1972). Zbl0264.46049
  5. [5] GÜNTZER, U. and REMMERT, R. : Bewertungstheorie und Spektralnorm. Abh. Math. Sem. Univ. Hamburg 38, 32-48 (1972). Zbl0237.12108MR46 #5294
  6. [6] PUT, M. VAN DER : Non-archimedean function algebras. Nederl. Akad. Wet., Proc., Ser. 1, 74, 60-77 (1971). Zbl0229.46050MR45 #904
  7. [7] TATE, J. : Rigid Analytic Spaces Personal notes 1962. Reproduced in Inventiones Math. 12, 257-289 (1971). Zbl0212.25601
  8. [8] ZARISKI, O. and SAMUEL, P. : Commutative Algebra. Vol I. Van Nostrand, Princeton 1958. Zbl0081.26501MR19,833e

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