The Grothendieck property for injective tensor products of Banach spaces

Donghai Ji; Xiao Ping Xue; Qingying Bu

Czechoslovak Mathematical Journal (2010)

  • Volume: 60, Issue: 4, page 1153-1159
  • ISSN: 0011-4642

How to cite

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Ji, Donghai, Xue, Xiao Ping, and Bu, Qingying. "The Grothendieck property for injective tensor products of Banach spaces." Czechoslovak Mathematical Journal 60.4 (2010): 1153-1159. <http://eudml.org/doc/196493>.

@article{Ji2010,
abstract = {},
author = {Ji, Donghai, Xue, Xiao Ping, Bu, Qingying},
journal = {Czechoslovak Mathematical Journal},
keywords = {Banach space; Grothendieck property; tensor product; Banach space; Grothendieck property; tensor product},
language = {eng},
number = {4},
pages = {1153-1159},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The Grothendieck property for injective tensor products of Banach spaces},
url = {http://eudml.org/doc/196493},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Ji, Donghai
AU - Xue, Xiao Ping
AU - Bu, Qingying
TI - The Grothendieck property for injective tensor products of Banach spaces
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 4
SP - 1153
EP - 1159
AB -
LA - eng
KW - Banach space; Grothendieck property; tensor product; Banach space; Grothendieck property; tensor product
UR - http://eudml.org/doc/196493
ER -

References

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  1. Bu, Q., Emmanuele, G., 10.1216/rmjm/1181069704, Rocky Mt. J. Math. 35 (2005), 713-726. (2005) MR2150306DOI10.1216/rmjm/1181069704
  2. Defant, A., Floret, K., Tensor Norms and Operator Ideals, North-Holland Amsterdam (1993). (1993) Zbl0774.46018MR1209438
  3. Diestel, J., Uhl, J. J., Vector Measures. Mathematical Surveys No. 15, American Mathematical Society (AMS) Providence (1977). (1977) MR0453964
  4. Dunford, N., Schwartz, J. T., Linear Operators. Part I: General Theory, John Wiley & Sons New York (1988). (1988) Zbl0635.47001MR1009162
  5. González, M., Gutiérrez, J. M., 10.1017/S0017089500031116, Glasg. Math. J. 37 (1995), 211-219. (1995) MR1333740DOI10.1017/S0017089500031116
  6. Grothendieck, A., Produits tensoriels topologiques et espaces nucléaires, Mem. Am. Math. Soc. 16 (1955), French. (1955) Zbl0123.30301MR0075539
  7. Kalton, N. J., 10.1112/blms/2.1.34, Bull. Lond. Math. Soc. 2 (1970), 34-36. (1970) Zbl0196.13601MR0259547DOI10.1112/blms/2.1.34
  8. Kalton, N. J., 10.1007/BF01432152, Math. Ann. 208 (1974), 267-278. (1974) Zbl0266.47038MR0341154DOI10.1007/BF01432152
  9. Lindenstrauss, J., Tzafriri, L., Classical Banach Spaces I. Sequence Spaces, Springer Berlin-Heidelberg-London (1977). (1977) Zbl0362.46013MR0500056
  10. Ryan, R. A., Introduction to Tensor Products of Banach Spaces, Springer London (2002). (2002) Zbl1090.46001MR1888309

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