Weak-polynomial convergence on spaces ℓp and Lp
This paper is concerned with the study of the set P -1(0), when P varies over all orthogonally additive polynomials on ℓp and Lp spaces. We apply our results to obtain characterizations of the weak-polynomial topologies associated to this class of polynomials. © 2004 Kluwer Academic Publishers.
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
2004
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| LEADER | 05072caa a22005897a 4500 | ||
|---|---|---|---|
| 001 | PAPER-21185 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518205236.0 | ||
| 008 | 190411s2004 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-17544381543 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Lassalle, S. | |
| 245 | 1 | 0 | |a Weak-polynomial convergence on spaces ℓp and Lp |
| 260 | |c 2004 | ||
| 270 | 1 | 0 | |m Lassalle, S.; Departamento De Matemática, Fac. De Cs. Exact. Y Nat., Univ. D., (1428) Buenos Aires, Argentina; email: slassall@dm.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Aron, R., Rueda, P., A problem concerning zero-subspaces of homogeneous polynomials (1991) Linear Topological Spaces and Complex Analysis, 3, pp. 20-23 | ||
| 504 | |a Aron, R., Cole, B., Gamelin, T., Spectra of algebras of analytic functions on a Banach space (1997) J. Reine Angew. Math., 415, pp. 51-93 | ||
| 504 | |a Aron, R., Gonzalo, R., Zagorodnyuk, A., Zeros of real polynomials (2000) Linear and Multilinear Algebra, 48, pp. 107-115 | ||
| 504 | |a Aron, R., Boyd, C., Ryan, R., Zalduendo, I., Zeros of polynomials on Banach spaces: The real story Positivity, , To appear in | ||
| 504 | |a Biström, P., Jaramillo, J.A., Lindström, M., Polynomial compactness in Banach spaces (1998) Rocky Mountain Journal of Math., 28, pp. 1203-1226 | ||
| 504 | |a Bonic, R., Frampton, J., Smooth functions on Banach Manifolds (1966) J. Math. Mech., 15, pp. 877-898 | ||
| 504 | |a Carne, T.K., Cole, B., Gamelin, T.W., A uniform algebra of analytic functions on a Banach space (1989) Trans. Amer. Math. Soc., 314, pp. 639-659 | ||
| 504 | |a Castillo, M.F., Garcia, R., Gonzalo, R., Banach spaces in which all multilinear forms are weakly sequentially continuous (1999) Studia Math., 136 (2), pp. 121-145 | ||
| 504 | |a Davie, A.M., Gamelin, T.W., A theorem of polynomial-star approximation (1989) Trans. Amer. Math. Soc., 106, pp. 351-358 | ||
| 504 | |a Fabián, M., Preiss, D., Whitfield, J.H.M., Zizler, V.E., Separating polynomials on Banach spaces (1989) Quart. J. Math. Oxford (2), 40, pp. 409-422 | ||
| 504 | |a Garrido, M.I., Jaramillo, J.A., Llavona, J.G., Polynomial Topologies and Uniformities, , preprint | ||
| 504 | |a González, M., Gutiérrez, J.M., Llavona, J.G., Polynomial continuity on ℓ1 (1997) Proc. Amer. Math. Soc., 125 (5), pp. 1349-1353 | ||
| 504 | |a Gutiérrez, J.M., Llavona, J.G., Polynomially continuous operators (1997) Israel J. Math., 102, pp. 179-187 | ||
| 504 | |a Lindenstrauss, J., Tzafriri, L., (1977) Classical Banach Spaces II, , Springer, Berlin | ||
| 504 | |a Llavona, J.G., (1986) Approximation of Continuously Differentiable Functions, 130. , North Holland, Amsterdam, Mathematics Studies | ||
| 504 | |a Pelczyńiski, A., A property of multilinear operations (1957) Studia Math., 16, pp. 173-182 | ||
| 504 | |a Royden, H.L., (1988) Real Analysis. 3rd Edition, , Collier Macmillan | ||
| 504 | |a Sundaresan, K., Geometry of spaces of homogeneous polynomials on Banach lattices (1991) Applied Geometry and Discrete Mathematics, pp. 571-586. , DIMACS Ser. Discrete Math. Theoret. Comput. Sci., 4, Amer. Math. Soc., Prov., RI | ||
| 520 | 3 | |a This paper is concerned with the study of the set P -1(0), when P varies over all orthogonally additive polynomials on ℓp and Lp spaces. We apply our results to obtain characterizations of the weak-polynomial topologies associated to this class of polynomials. © 2004 Kluwer Academic Publishers. |l eng | |
| 536 | |a Detalles de la financiación: Universidad Complutense de Madrid | ||
| 536 | |a Detalles de la financiación: PB96-0607 | ||
| 536 | |a Detalles de la financiación: S.L.’s research was partially supported by the Project UBACyT EX 092 and Kent State University. J.G.L.’s research was supported by the Project PB96-0607 and by the Kent State University – Universidad Complutense de Madrid Cooperative Exchange Agreement. | ||
| 593 | |a Departamento De Matemática, Fac. De Cs. Exact. Y Nat., Univ. D., (1428) Buenos Aires, Argentina | ||
| 593 | |a Depto. De Analisis Matematico, Fac. De Matemat., Univ. C., 28040 Madrid, Spain | ||
| 690 | 1 | 0 | |a POLYNOMIALS ON BANACH SPACES |
| 690 | 1 | 0 | |a WEAK-POLYNOMIAL TOPOLOGIES |
| 690 | 1 | 0 | |a ZEROS OF POLYNOMIALS ON ℓP AND LP |
| 700 | 1 | |a Llavona, J.G. | |
| 773 | 0 | |d 2004 |g v. 8 |h pp. 283-296 |k n. 3 |p Positivity |x 13851292 |t Positivity | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-17544381543&doi=10.1007%2fs11117-004-5008-x&partnerID=40&md5=b39b73944289208c6de61486892c0b42 |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s11117-004-5008-x |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_13851292_v8_n3_p283_Lassalle |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13851292_v8_n3_p283_Lassalle |y Registro en la Biblioteca Digital |
| 961 | |a paper_13851292_v8_n3_p283_Lassalle |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 999 | |c 82138 | ||