Voir la notice de l'article provenant de la source Cambridge University Press
Alaminos, J.; Choi, Y. S.; Kim, S. G.; Payá, R. Norm Attaining Bilinear Forms on Spaces of Continuous Functions. Glasgow mathematical journal, Tome 40 (1998) no. 3, pp. 359-365. doi: 10.1017/S0017089500032717
@article{10_1017_S0017089500032717,
author = {Alaminos, J. and Choi, Y. S. and Kim, S. G. and Pay\'a, R.},
title = {Norm {Attaining} {Bilinear} {Forms} on {Spaces} of {Continuous} {Functions}},
journal = {Glasgow mathematical journal},
pages = {359--365},
year = {1998},
volume = {40},
number = {3},
doi = {10.1017/S0017089500032717},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500032717/}
}
TY - JOUR AU - Alaminos, J. AU - Choi, Y. S. AU - Kim, S. G. AU - Payá, R. TI - Norm Attaining Bilinear Forms on Spaces of Continuous Functions JO - Glasgow mathematical journal PY - 1998 SP - 359 EP - 365 VL - 40 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500032717/ DO - 10.1017/S0017089500032717 ID - 10_1017_S0017089500032717 ER -
%0 Journal Article %A Alaminos, J. %A Choi, Y. S. %A Kim, S. G. %A Payá, R. %T Norm Attaining Bilinear Forms on Spaces of Continuous Functions %J Glasgow mathematical journal %D 1998 %P 359-365 %V 40 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500032717/ %R 10.1017/S0017089500032717 %F 10_1017_S0017089500032717
[1] 1.Acosta, M. D., Aguirre, F. J. and Paya, R., There is no bilinear Bishop-Phelps theorem, Israel J. Math. 93 (1996), 221–227. Google Scholar | DOI
[2] 2.Aron, R. M., Finet, C. and Werner, E., Norm-attaining n-linear forms and the Radon-Nikodym property, in Proc. 2nd Conf. on Function Spaces (Jarosz, K., ed.), L. N. Pure and Appl. Math., Marcel Dekker (1995), pp. 19–28. Google Scholar
[3] 3.Bonsall, F. F. and Duncan, J., Numerical ranges of operators on normed spaces and of elements of normed algebras, London Math. Soc. Lect. Notes Ser. 2 (Cambridge Univ. Press, 1971). Google Scholar | DOI
[4] 4.Bonsall, F. F. and Duncan, J., Numerical ranges II, London Math. Soc. Lect. Notes Ser. 10 (Cambridge Univ. Press, 1973). Google Scholar | DOI
[5] 5.Choi, Y. S., Norm attaining bilinear forms on L1[0, 1], J. Math. Anal. Appl. 211 (1997), 295–300. Google Scholar | DOI
[6] 6.Choi, Y. S. and Kim, S. G., Norm or numerical radius attaining multilinear mappings and polynomials, J. London Math. Soc. 54 (1996), 135–147. Google Scholar | DOI
[7] 7.Deville, R., Godefroy, G. and Zizler, V., Smoothness and renormings in Banach spaces, Pitman Monographs and Surveys in Pure and Appl. Math. 64 (Longman Sc. & Tech., Essex, 1993). Google Scholar
[8] 8.Diestel, J. and Uhl, J. J. Jr, Vector measures, Math. Surveys 15 (Amer. Math. Soc, Providence R.I. 1977). Google Scholar | DOI
[9] 9.Emmanuele, G., A remark on the containment of Co in spaces of compact operators, Math. Proc. Camb. Phil. Soc. III (1992), 331–335. Google Scholar | DOI
[10] 10.Finet, C. and Payá, R., Norm attaining operators from L into L Israel J. Math, (to appear). Google Scholar
[11] 11.Grothendieck, A., Sur les applications lineaires faiblement compactes d'espaces du type C(K), Canad. J. Math. 5 (1953), 129–173. Google Scholar | DOI
[12] 12.Gutierrez, J. M., Weakly continuous functions on Banach spaces not containing lu Proc. Amer. Math. Soc. 1993 no. 1 (1993), 147–152. Google Scholar
[13] 13.Jiménez-Sevilla, M. and Payá, R., Norm attaining multilinear forms and polynomials on preduals of Lorentz sequence spaces, Studia Math. 127 (1998), 99–112. Google Scholar | DOI
[14] 14.Kalton, N., Spaces of compact operators, Math. Ann. 208 (1974), 267–278. Google Scholar | DOI
[15] 15.Lindenstrauss, J., On operators which attain their norm, Israel J. Math. 1 (1963), 139–148. Google Scholar | DOI
[16] 16.Rudin, W., Real and complex analysis (McGraw-Hill, New York, 1966). Google Scholar
[17] 17.Schachermayer, W., Norm attaining operators on some classical Banach spaces, Pac. J. Math. 105, no. 2 (1983) 427–438. Google Scholar | DOI
Cité par Sources :