Five basic lemmas for symmetric tensor products of normed spaces

Mostrar otras versiones (1)

We give the symmetric version of five lemmas which are essential for the theory of tensor products (and norms). These are: the approximation, extension, embedding, density and local technique lemma. Some applications of these tools to the metric theory of symmetric tensor products and to the theory...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Carando, D.
Otros Autores: Galicer, D.
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2011
Acceso en línea:Registro en Scopus
Handle
Registro en la Biblioteca Digital
Aporte de:Registro referencial: Solicitar el recurso aquí
Biblioteca Central Dr. Luis F. Leloir (FCEN) de Universidad de Buenos Aires
LEADER 07417caa a22007217a 4500
001 PAPER-10026
003 AR-BaUEN
005 20230518204001.0
008 190411s2011 xx ||||fo|||| 00| 0 eng|d
024 7 |2 scopus  |a 2-s2.0-84857865349 
040 |a Scopus  |b spa  |c AR-BaUEN  |d AR-BaUEN 
100 1 |a Carando, D. 
245 1 0 |a Five basic lemmas for symmetric tensor products of normed spaces 
260 |c 2011 
270 1 0 |m Carando, D.; Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pab. I, Ciudad Universitaria, (1428) Buenos Aires, Argentina; email: dcarando@dm.uba.ar 
506 |2 openaire  |e Política editorial 
504 |a Aron, R.M., Berner, P.D., A Hahn-Banach extension theorem for analytic mappings (1978) Bull. Soc. Math. France, 106 (1), pp. 3-24 
504 |a Botelho, G., Braunss, H.-A., Junek, H.H., Pellegrino, D., Holomorphy types and ideals of multilinear mappings (2006) Studia Math, 177 (1), pp. 43-65 
504 |a Boyd, C., Lassalle, S., Isometries between spaces of homogeneous polynomials (2005) J. Funct. Anal., 224 (2), pp. 281-295 
504 |a Boyd, C., Lassalle, S., Extreme and exposed points of spaces of integral polynomials (2010) Proc. Amer. Math. Soc., 138 (4), pp. 1415-1420 
504 |a Boyd, C., Ryan, R., Geometric theory of spaces of integral polynomials and symmetric tensor products (2001) J. Funct. Anal., 179 (1), pp. 18-42 
504 |a Carando, D., Extendible polynomials on Banach spaces (1999) J. Math. Anal. Appl., 233 (1), pp. 359-372 
504 |a Carando, D., Dimant, V., Muro, S., Coherent sequences of polynomial ideals on Banach spaces (2009) Math. Nachr., 282 (8), pp. 1111-1133 
504 |a Carando, D., Galicer, D., Extending polynomials in maximal and minimal ideals (2010) Publ. Res. Inst. Math. Sci., 46, pp. 669-680 
504 |a Carando, D., Galicer, D., The symmetric Radon-Nikodým property for tensor norms (2011) J. Math. Anal. Appl., 375 (2), pp. 553-565 
504 |a Carando, D., Galicer, D., Natural symmetric tensor norms, , Preprint 
504 |a Carando, D., Zalduendo, I., A Hahn-Banach theorem for integral polynomials (1999) Proc. Am. Math. Soc., 127 (1), pp. 241-250 
504 |a Davie, A.M., Gamelin, T.W., A theorem on polynomial-star approximation (1989) Proc. Am. Math. Soc., 106 (2), pp. 351-356 
504 |a Defant, A., Díaz, J.C., García, D., Maestre, M., Unconditional basis and Gordon-Lewis constants for spaces of polynomials (2001) J. Funct. Anal., 181 (1), pp. 119-145 
504 |a Defant, A., Floret, K., Tensor norms and operator ideals (1993) North-Holland Mathematics Studies, 11, p. 566. , 176. Amsterdam: North-Holland 
504 |a Diestel, J., Jarchow, H., Tonge, A., (1995) Absolutely summing operators, 43. , Cambridge Studies in Advanced Mathematics, Cambridge University Press, Cambridge 
504 |a Dineen, S., (1999) Complex analysis on infinite dimensional spaces, , Springer Monographs in Mathematics. London: Springer 
504 |a Floret, K., Natural norms on symmetric tensor products of normed spaces (1997) Note Mat, 17, pp. 153-188 
504 |a Floret, K., Minimal ideals of n-homogeneous polynomials on normed spaces (2001) Result. Math., 39 (3-4), pp. 201-217 
504 |a Floret, K., (2001) The extension theorem for norms on symmetric tensor products of normed spaces, 189, pp. 225-237. , Recent progress in functional analysis (Valencia, 2000), North-Holland Math. Stud., North-Holland, Amsterdam 
504 |a Floret, K., On ideals of n-homogeneous polynomials on Banach spaces (2002) Topological algebras with applications to differential geometry and mathematical physics, pp. 19-38. , Strantzalos, P. (ed.) et al., Athens: University of Athens, Department of Mathematics 
504 |a Floret, K., García, D., On ideals of polynomials and multilinear mappings between Banach spaces (2003) Arch. Math. (Basel), 81 (3), pp. 300-308 
504 |a Floret, K., Hunfeld, S., Ultrastability of ideals of homogeneous polynomials and multilinear mappings on Banach spaces (2002) Proc. Am. Math. Soc., 130 (5), pp. 1425-1435 
504 |a Galicer, D., (2012) Productos tensoriales simétricos: teoría métrica, isomorfa y aplicaciones, , PhD thesis, Univ. de Buenos Aires 
504 |a Grecu, B., Ryan, R., Schauder bases for symmetric tensor products (2005) Publ. Res. Inst. Math. Sci., 41 (2), pp. 459-469 
504 |a Grothendieck, A., Résumé de la théorie métrique des produits tensoriels topologiques (1953) Bol. Soc. Mat. São Paulo, 8, pp. 1-79 
504 |a Kirwan, P., Ryan, R., Extendibility of homogeneous polynomials on Banach spaces (1998) Proc. Am. Math. Soc., 126 (4), pp. 1023-1029 
504 |a Moraes, L.A., The Hahn-Banach extension theorem for some spaces of n-homogeneous polynomials., Functional analysis: surveys and recent results III (1984) Proc. Conf., Paderborn/Ger., 90, pp. 265-274. , 1983, North-Holland Math. Stud 
504 |a Lindenstrauss, J., Pelczynski, A., Absolutely summing operators in L p-spaces and their applications (1968) Studia Math, 29, pp. 275-326 
504 |a Pietsch, A., (1978) Operator ideals, , Mathematische Monographien [Mathematical Monographs], 16. VEB Deutscher Verlag der Wissenschaften, Berlin 
504 |a Ryan, R., (1980) Applications of Topological Tensor Products to Infinite Dimensional Holomorphy, , PhD Thesis, Trinity College, Dublin 
504 |a Raymond, R., (2002) Introduction to tensor products of Banach spaces, , Springer Monographs in Mathematics. Springer-Verlag London, Ltd., London 
504 |a Schatten, R., (1950) A Theory of Cross-Spaces, , Annals of Mathematics Studies, 26. Princeton University Press, Princeton, N. J 
504 |a Zalduendo, I., A canonical extension for analytic functions on Banach spaces (1990) Trans. Am. Math. Soc., 320 (2), pp. 747-763 
504 |a Zalduendo, I., Extending Polynomials on Banach Spaces - A survey (2005) Revista de la Unión Matemática Argentina, 46 (2), pp. 45-72 
520 3 |a We give the symmetric version of five lemmas which are essential for the theory of tensor products (and norms). These are: the approximation, extension, embedding, density and local technique lemma. Some applications of these tools to the metric theory of symmetric tensor products and to the theory of polynomials ideals are given.  |l eng 
593 |a Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pab. I, Ciudad Universitaria, (1428) Buenos Aires, Argentina 
593 |a IMAS, CONICET, Argentina 
690 1 0 |a HOMOGENOUS POLYNOMIALS 
690 1 0 |a SYMMETRIC TENSOR PRODUCTS 
700 1 |a Galicer, D. 
773 0 |d 2011  |g v. 52  |h pp. 35-60  |k n. 2  |p Rev. Union Mat. Argent.  |x 00416932  |t Revista de la Union Matematica Argentina 
856 4 1 |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-84857865349&partnerID=40&md5=c72d8414b877bdaeb0ed62987f79f107  |y Registro en Scopus 
856 4 0 |u https://hdl.handle.net/20.500.12110/paper_00416932_v52_n2_p35_Carando  |y Handle 
856 4 0 |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00416932_v52_n2_p35_Carando  |y Registro en la Biblioteca Digital 
961 |a paper_00416932_v52_n2_p35_Carando  |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 70979 

Ejemplares similares