메뉴 건너뛰기




Volumn 85, Issue 3, 2005, Pages 258-267

Comparing different classes of absolutely summing multilinear operators

Author keywords

[No Author keywords available]

Indexed keywords


EID: 25144471717     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00013-005-1125-4     Document Type: Article
Times cited : (60)

References (50)
  • 1
    • 0002822158 scopus 로고
    • Multilinear mappings of nuclear and integral type
    • R. ALENCAR, Multilinear mappings of nuclear and integral type. Proc. Amer. Math. Soc. 94(1), 33-38 (1985).
    • (1985) Proc. Amer. Math. Soc. , vol.94 , Issue.1 , pp. 33-38
    • Alencar, R.1
  • 3
    • 33646733557 scopus 로고
    • Weakly continuous mappings on Banach spaces
    • R. M. ARON, C. HERVÉS and M. VALDIVIA, Weakly continuous mappings on Banach spaces. J. Funct. Anal. 52, 189-204 (1983).
    • (1983) J. Funct. Anal. , vol.52 , pp. 189-204
    • Aron, R.M.1    Hervés, C.2    Valdivia, M.3
  • 4
    • 84963063016 scopus 로고
    • Multilinear measure theory and the Grothendieck factorization theorem
    • R. C. BLEI, Multilinear measure theory and the Grothendieck factorization theorem. Proc. London Math. Soc. 56(3), 529-546 (1988).
    • (1988) Proc. London Math. Soc. , vol.56 , Issue.3 , pp. 529-546
    • Blei, R.C.1
  • 5
    • 0002807104 scopus 로고    scopus 로고
    • Unconditionally converging multilinear operators
    • F. BOMBAL, M. FERNÁNDEZ and I. VILLANUEVA, Unconditionally converging multilinear operators. Math. Nachr. 226, 5-15 (2001).
    • (2001) Math. Nachr. , vol.226 , pp. 5-15
    • Bombal, F.1    Fernández, M.2    Villanueva, I.3
  • 7
    • 0001176676 scopus 로고    scopus 로고
    • Cotype and absolutely summing multilinear mappings and homogeneous polynomials
    • G. BOTELHO, Cotype and absolutely summing multilinear mappings and homogeneous polynomials. Proc. Royal Irish Acad. 97A(2), 145-153 (1997).
    • (1997) Proc. Royal Irish Acad. , vol.97 A , Issue.2 , pp. 145-153
    • Botelho, G.1
  • 8
    • 0002845824 scopus 로고    scopus 로고
    • Geometric theory of spaces of integral polynomials and symmetric tensor products
    • C. BOYD and R. A. RYAN, Geometric theory of spaces of integral polynomials and symmetric tensor products. J. Funct. Anal. 179, 18-42 (2001).
    • (2001) J. Funct. Anal. , vol.179 , pp. 18-42
    • Boyd, C.1    Ryan, R.A.2
  • 9
    • 11144266791 scopus 로고    scopus 로고
    • Extension of multilinear operators on Banach spaces
    • F. CABELLO, R. GARCÍA and I. VILLANUEVA, Extension of multilinear operators on Banach spaces. Extrac. Math. 15, 291-334 (2000).
    • (2000) Extrac. Math. , vol.15 , pp. 291-334
    • Cabello, F.1    García, R.2    Villanueva, I.3
  • 10
    • 0142231442 scopus 로고    scopus 로고
    • On sumability of bilinear operators
    • D. CARANDO and V. DIMANT, On sumability of bilinear operators. Math. Nachr. 259, 3-11 (2003).
    • (2003) Math. Nachr. , vol.259 , pp. 3-11
    • Carando, D.1    Dimant, V.2
  • 11
    • 0035586291 scopus 로고    scopus 로고
    • Estimates for absolutely summing norms of polynomials and multilinear maps
    • Y. S. CHOI, S. G. KIM, Y. MELÉNDEZ and A. TONGE, Estimates for absolutely summing norms of polynomials and multilinear maps. Quart. J. Math. 52, 1-12 (2001).
    • (2001) Quart. J. Math. , vol.52 , pp. 1-12
    • Choi, Y.S.1    Kim, S.G.2    Meléndez, Y.3    Tonge, A.4
  • 13
    • 84974004785 scopus 로고
    • Schatten-von Neumann classes of multilinear forms
    • F. COBOS, T. KÜHN and J. PEETRE, Schatten-von Neumann classes of multilinear forms. Duke Math. J. 65(1), 121-156 (1992).
    • (1992) Duke Math. J. , vol.65 , Issue.1 , pp. 121-156
    • Cobos, F.1    Kühn, T.2    Peetre, J.3
  • 17
    • 0037310233 scopus 로고    scopus 로고
    • Strongly p-summing multilinear operators
    • V. DIMANT, Strongly p-summing multilinear operators. J. Math. Anal. Appl. 278, 182-193 (2003).
    • (2003) J. Math. Anal. Appl. , vol.278 , pp. 182-193
    • Dimant, V.1
  • 18
    • 1842467937 scopus 로고
    • Holomorphic functions on a Banach space
    • S. DINEEN, Holomorphic functions on a Banach space. Bull. Amer. Math. Soc. 76, 883-886 (1970).
    • (1970) Bull. Amer. Math. Soc. , vol.76 , pp. 883-886
    • Dineen, S.1
  • 20
    • 84966251319 scopus 로고
    • Partial differential equations in Fischer-Fock spaces for the Hilbert-Schmidt holomorphy type
    • T. A. W. DWYER III, Partial differential equations in Fischer-Fock spaces for the Hilbert-Schmidt holomorphy type. Bull. Amer. Math. Soc. 77, 725-730 (1971).
    • (1971) Bull. Amer. Math. Soc. , vol.77 , pp. 725-730
    • Dwyer III, T.A.W.1
  • 21
    • 0035994104 scopus 로고    scopus 로고
    • Ultrastability of ideals of homogeneous polynomials and multilinear mappings on Banach spaces
    • K. FLORET and S. HUNFELD, Ultrastability of ideals of homogeneous polynomials and multilinear mappings on Banach spaces. Proc. Amer. Math. Soc. 130, 1425-1435 (2001).
    • (2001) Proc. Amer. Math. Soc. , vol.130 , pp. 1425-1435
    • Floret, K.1    Hunfeld, S.2
  • 22
    • 84985396236 scopus 로고
    • Applications of a Khintchine inequality to holomorphic mappings
    • K. FLORET and M. C. MATOS, Applications of a Khintchine inequality to holomorphic mappings. Math. Nachr. 176, 65-72 (1995).
    • (1995) Math. Nachr. , vol.176 , pp. 65-72
    • Floret, K.1    Matos, M.C.2
  • 24
    • 0039607238 scopus 로고
    • When every polynomial is unconditionally converging
    • M. GONZÁLEZ and J. GUTIÉRREZ, When every polynomial is unconditionally converging. Arch. Math. 63, 145-151 (1994).
    • (1994) Arch. Math. , vol.63 , pp. 145-151
    • González, M.1    Gutiérrez, J.2
  • 26
    • 0000077448 scopus 로고    scopus 로고
    • Factorization of weakly continuous holomorphic mappings
    • M. GONZÁLEZ and J. GUTIÉRREZ, Factorization of weakly continuous holomorphic mappings. Studia Math. 118, 117-133 (1996).
    • (1996) Studia Math. , vol.118 , pp. 117-133
    • González, M.1    Gutiérrez, J.2
  • 27
    • 0000202980 scopus 로고    scopus 로고
    • Injective factorization of holomorphic mappings
    • M. GONZÁLEZ and J. GUTIÉRREZ, Injective factorization of holomorphic mappings. Proc. Amer. Math. Soc. 127, 1715-1721 (1999).
    • (1999) Proc. Amer. Math. Soc. , vol.127 , pp. 1715-1721
    • González, M.1    Gutiérrez, J.2
  • 28
    • 0002975215 scopus 로고
    • Résumé de la théorie métrique des produits tensoriels topologiques
    • A. GROTHENDIECK, Résumé de la théorie métrique des produits tensoriels topologiques. Bol. Soc. Mat. Sao Paulo 8, 1-79 (1956).
    • (1956) Bol. Soc. Mat. Sao Paulo , vol.8 , pp. 1-79
    • Grothendieck, A.1
  • 31
    • 0242563927 scopus 로고    scopus 로고
    • Fully absolutely summing and Hilbert-Schmidt multilinear mappings
    • M. C. MATOS, Fully absolutely summing and Hilbert-Schmidt multilinear mappings. Collect. Math. 54, 111-136 (2003).
    • (2003) Collect. Math. , vol.54 , pp. 111-136
    • Matos, M.C.1
  • 32
    • 0041321042 scopus 로고    scopus 로고
    • On a question of Pietsch about Hilbert-Schmidt multilinear mappings
    • M. C. MATOS, On a question of Pietsch about Hilbert-Schmidt multilinear mappings. J. Math. Anal. Appl. 257, 343-355 (2001).
    • (2001) J. Math. Anal. Appl. , vol.257 , pp. 343-355
    • Matos, M.C.1
  • 33
    • 0000002031 scopus 로고    scopus 로고
    • Polynomials and the Pietsch domination theorem
    • Y. MELÉNDEZ and A. TONGE, Polynomials and the Pietsch domination theorem. Math. Proc. Royal Irish Acad. 99A, 195-212 (1999).
    • (1999) Math. Proc. Royal Irish Acad. , vol.99 A , pp. 195-212
    • Meléndez, Y.1    Tonge, A.2
  • 34
    • 0000756006 scopus 로고
    • On weakly compact polynomial operators on B-spaces with Dunford-Pettis property
    • A. PEŁCZYŃSKI, On weakly compact polynomial operators on B-spaces with Dunford-Pettis property. Bull. Acad. Polon. Sci. Ser. Sci. Math. Astr. Phys. 11, 371-378 (1963).
    • (1963) Bull. Acad. Polon. Sci. Ser. Sci. Math. Astr. Phys. , vol.11 , pp. 371-378
    • PeŁczyński, A.1
  • 36
    • 4243253835 scopus 로고
    • A characterization of Hilbert-Schmidt operators
    • A. PEŁCZYŃSKI, A characterization of Hilbert-Schmidt operators. Studia Math. 28, 355-360 (1967).
    • (1967) Studia Math. , vol.28 , pp. 355-360
    • PeŁczyński, A.1
  • 39
    • 11444268691 scopus 로고    scopus 로고
    • The inclusion theorem for multiple summing operators
    • D. PÉREZ-GARCÍA, The inclusion theorem for multiple summing operators. Studia Math. 165, 275-290 (2004).
    • (2004) Studia Math. , vol.165 , pp. 275-290
    • Pérez-García, D.1
  • 41
    • 2542556669 scopus 로고    scopus 로고
    • Multiple summing operators on C(K) spaces
    • D. PÉREZ-GARCÍA and I. VILLANUEVA, Multiple summing operators on C(K) spaces. Ark. Mat. 42, 153-171 (2004).
    • (2004) Ark. Mat. , vol.42 , pp. 153-171
    • Pérez-García, D.1    Villanueva, I.2
  • 42
    • 25144444737 scopus 로고    scopus 로고
    • A composition theorem for multiple summing operators
    • To appear
    • D. PÉREZ-GARCÍA and I. VILLANUEVA, A composition theorem for multiple summing operators. To appear in Monatsh. Math.
    • Monatsh. Math.
    • Pérez-García, D.1    Villanueva, I.2
  • 44
    • 25144443031 scopus 로고    scopus 로고
    • There is no lattice preserving natural tensor norm
    • To appear
    • D. PÉREZ-GARCÍA and I. VILLANUEVA, There is no lattice preserving natural tensor norm. To appear in Quaest. Math.
    • Quaest. Math.
    • Arcía, D.P.-G.1    Villanueva, I.2
  • 45
    • 0000706953 scopus 로고
    • Absolut p-summierende Abbildungen in normierten Räumen
    • A. PIETSCH, Absolut p-summierende Abbildungen in normierten Räumen. Studia Math. 28, 333-353 (1967).
    • (1967) Studia Math. , vol.28 , pp. 333-353
    • Pietsch, A.1
  • 47
    • 0003206141 scopus 로고
    • Factorization of linear operators and geometry of Banach spaces
    • Amer. Math. Soc.
    • G. PISIER, Factorization of linear operators and geometry of Banach spaces. CBMS Regional Conference Series, (60), Amer. Math. Soc. 1986.
    • (1986) CBMS Regional Conference Series , Issue.60
    • Pisier, G.1
  • 50
    • 0038334589 scopus 로고    scopus 로고
    • Integral mappings between Banach spaces
    • I. VILLANUEVA, Integral mappings between Banach spaces. J. Math. Anal. Appl. 279, 56-70 (2003).
    • (2003) J. Math. Anal. Appl. , vol.279 , pp. 56-70
    • Villanueva, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.