The norm of uniform convergence on the k-algebraic maximal spectrum of an algebra over a non-archimedean valuation field k
Table ronde d'analyse non archimédienne (Paris, 1972), Mémoires de la Société Mathématique de France, no. 39-40 (1974), pp. 101-121.
@incollection{MSMF_1974__39-40__101_0,
     author = {G\"untzer, Ulrich},
     title = {The norm of uniform convergence on the $k$-algebraic maximal spectrum of an algebra over a non-archimedean valuation field $k$},
     booktitle = {Table ronde d'analyse non archim\'edienne (Paris, 1972)},
     author = {Collectif},
     series = {M\'emoires de la Soci\'et\'e Math\'ematique de France},
     pages = {101--121},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {39-40},
     year = {1974},
     doi = {10.24033/msmf.164},
     zbl = {0298.46054},
     mrnumber = {50 #14225},
     url = {http://archive.numdam.org/articles/10.24033/msmf.164/}
}
TY  - CHAP
AU  - Güntzer, Ulrich
TI  - The norm of uniform convergence on the $k$-algebraic maximal spectrum of an algebra over a non-archimedean valuation field $k$
BT  - Table ronde d'analyse non archimédienne (Paris, 1972)
AU  - Collectif
T3  - Mémoires de la Société Mathématique de France
PY  - 1974
DA  - 1974///
SP  - 101
EP  - 121
IS  - 39-40
PB  - Société mathématique de France
UR  - http://archive.numdam.org/articles/10.24033/msmf.164/
UR  - https://zbmath.org/?q=an%3A0298.46054
UR  - https://www.ams.org/mathscinet-getitem?mr=50 #14225
UR  - https://doi.org/10.24033/msmf.164
DO  - 10.24033/msmf.164
ID  - MSMF_1974__39-40__101_0
ER  - 
Güntzer, Ulrich. The norm of uniform convergence on the $k$-algebraic maximal spectrum of an algebra over a non-archimedean valuation field $k$, dans Table ronde d'analyse non archimédienne (Paris, 1972), Mémoires de la Société Mathématique de France, no. 39-40 (1974), pp. 101-121. doi : 10.24033/msmf.164. http://archive.numdam.org/articles/10.24033/msmf.164/

[1] Gerritzen, L. : Die Norm der gleichmäβigen Konvergenz auf reduzierten affinoiden Algebren Journ. f. reine u. angew. Math. 231, 114-120 (1968). | MR 37 #4291 | Zbl 0159.33104

[2] Grauert, H. and Remmert, R. : Nichtarchimedische Funktionentheorie. Weierstraß-Festschrift, Wissenschaftl. Abh. Arbeitsgem. f. Forsch. Nordrhein-Westfalen 33, 393-476 (1966). | MR 33 #7578 | Zbl 0146.31501

[3] Gruson, L. : Fibrés vectoriels sur un polydisque ultramétrique Ann. scient. Ec. Norm. Sup. (4) 1, 45-89 (1968). | Numdam | MR 37 #5228 | Zbl 0197.17401

[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). | Zbl 0264.46049

[5] Güntzer, U. and Remmert, R. : Bewertungstheorie und Spektralnorm. Abh. Math. Sem. Univ. Hamburg 38, 32-48 (1972). | MR 46 #5294 | Zbl 0237.12108

[6] Put, M. Van Der : Non-archimedean function algebras. Nederl. Akad. Wet., Proc., Ser. 1, 74, 60-77 (1971). | MR 45 #904 | Zbl 0229.46050

[7] Tate, J. : Rigid Analytic Spaces Personal notes 1962. Reproduced in Inventiones Math. 12, 257-289 (1971). | Zbl 0212.25601

[8] Zariski, O. and Samuel, P. : Commutative Algebra. Vol I. Van Nostrand, Princeton 1958. | MR 19,833e | Zbl 0081.26501

Cité par Sources :