L’espace des fonctions analytiques bornées sur une région peut être muni de plusieurs topologies différentes. Deux topologies faibles sont étudiées ici. L’une est celle appelée topologie stricte et l’autre la topologie faible étoilée. Le principal outil nouveau est une espèce de balayage ou ramonage.
@article{AIF_1966__16_1_235_0, author = {Rubel, Lee A. and Shields, A. L.}, title = {The space of bounded analytic functions on a region}, journal = {Annales de l'Institut Fourier}, pages = {235--277}, publisher = {Imprimerie Louis-Jean}, address = {Gap}, volume = {16}, number = {1}, year = {1966}, doi = {10.5802/aif.231}, zbl = {0152.13202}, mrnumber = {33 #6440}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.231/} }
TY - JOUR TI - The space of bounded analytic functions on a region JO - Annales de l'Institut Fourier PY - 1966 DA - 1966/// SP - 235 EP - 277 VL - 16 IS - 1 PB - Imprimerie Louis-Jean PP - Gap UR - https://aif.centre-mersenne.org/articles/10.5802/aif.231/ UR - https://zbmath.org/?q=an%3A0152.13202 UR - https://www.ams.org/mathscinet-getitem?mr=33 #6440 UR - https://doi.org/10.5802/aif.231 DO - 10.5802/aif.231 LA - en ID - AIF_1966__16_1_235_0 ER -
Rubel, Lee A.; Shields, A. L. The space of bounded analytic functions on a region. Annales de l'Institut Fourier, Volume 16 (1966) no. 1, pp. 235-277. doi : 10.5802/aif.231. https://aif.centre-mersenne.org/articles/10.5802/aif.231/
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