The reciprocal Dunford–Pettis property of order in projective tensor products
Commentationes Mathematicae Universitatis Carolinae (2019)
- Volume: 60, Issue: 3, page 351-360
- ISSN: 0010-2628
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top- Albiac F., Kalton N. J., Topics in Banach Space Theory, Graduate Texts in Mathematics, 233, Springer, New York, 2006. Zbl1094.46002MR2192298
- Bator E. M., Lewis P. W., 10.1002/mana.19921570109, Math. Nachr. 157 (1992), 99–103. Zbl0792.47021MR1233050DOI10.1002/mana.19921570109
- Bessaga C., Pełczyński A., 10.4064/sm-17-2-151-164, Studia Math. 17 (1958), 151–164. MR0115069DOI10.4064/sm-17-2-151-164
- Bourgain J., New classes of -spaces, Lecture Notes in Mathematics, 889, Springer, Berlin, 1981. MR0639014
- Castillo J. M., Sanchez F., Dunford–Pettis-like properties of continuous vector function spaces, Rev. Mat. Univ. Complut. Madrid 6 (1993), no. 1, 43–59. MR1245024
- Diestel J., A survey of results related to the Dunford–Pettis property, Proc. of the Conf. on Integration, Topology, and Geometry in Linear Spaces, Contemp. Math., 2, Amer. Math. Soc., Provicence, 1980, pages 15–60. MR0621850
- Diestel J., Sequences and Series in Banach Spaces, Graduate Texts in Mathematics, 92, Springer, New York, 1984. MR0737004
- Diestel J., Jarchow H., Tonge A., Absolutely Summing Operators, Cambridge Studies in Advanced Mathematics, 43, Cambridge University Press, Cambridge, 1995. Zbl1139.47021MR1342297
- Diestel J., Uhl J. J. Jr., Vector Measures, Mathematical Surveys, 15, American Mathematical Society, Providence, 1977. Zbl0521.46035MR0453964
- Emmanuele G., A dual characterization of Banach spaces not containing , Bull. Polish Acad. Sci. Math. 34 (1986), no. 3–4, 155–160. MR0861172
- Emmanuele G., Dominated operators on and the , Collect. Math. 41 (1990), no. 1, 21–25. MR1134442
- Emmanuele G., 10.1017/S0305004100069632, Math. Proc. Cambridge Philos. Soc. 109 (1991), no. 1, 161–166. MR1075128DOI10.1017/S0305004100069632
- Emmanuele G., 10.1017/S0305004100075435, Math. Proc. Cambridge Philos. Soc. 111 (1992), no. 2, 331–335. MR1142753DOI10.1017/S0305004100075435
- Emmanuele G., Hensgen W., Property of Pelczyński in projective tensor products, Proc. Roy. Irish Acad. Sect. A 95 (1995), no. 2, 227–231. MR1660381
- Emmanuele G., John K., 10.1023/A:1022483919972, Czechoslovak Math. J. 47 (1997), no. 1, 19–31. Zbl0903.46006MR1435603DOI10.1023/A:1022483919972
- Ghenciu I., Property and the reciprocal Dunford–Pettis property in projective tensor products, Comment. Math. Univ. Carolin. 56 (2015), no. 3, 319–329. MR3390279
- Ghenciu I., 10.2989/16073606.2017.1402383, Quaest. Math. 41 (2018), no. 6, 811–828. MR3857131DOI10.2989/16073606.2017.1402383
- Ghenciu I., 10.1007/s10474-018-0836-5, Acta Math. Hungar. 155 (2018), 439–457. MR3831309DOI10.1007/s10474-018-0836-5
- Ghenciu I., Lewis P., 10.4064/cm106-2-11, Colloq. Math. 106 (2006), no. 2, 311–324. MR2283818DOI10.4064/cm106-2-11
- Ghenciu I., Lewis P., 10.4064/ba56-3-7, Bull. Pol. Acad. Sci. Math. 56 (2008), no. 3–4, 239–256. Zbl1167.46016MR2481977DOI10.4064/ba56-3-7
- Pełczyński A., Banach spaces on which every unconditionally converging operator is weakly compact, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 10 (1962), 641–648. Zbl0107.32504MR0149295
- Pełczyński A., 10.4064/sm-30-2-231-246, Studia Math. 30 (1968), 231–246. MR0232195DOI10.4064/sm-30-2-231-246
- Pełczyński A., Semadeni Z., 10.4064/sm-18-2-211-222, Studia Math. 18 (1959), 211–222. MR0107806DOI10.4064/sm-18-2-211-222
- Pitt H. R., 10.1112/jlms/s1-11.3.174, J. London Math. Soc. 11 (1936), no. 3, 174–180. Zbl0014.31201MR1574344DOI10.1112/jlms/s1-11.3.174
- Rosenthal H., 10.2307/2373824, Amer. J. Math. 99 (1977), no. 2, 362–378. MR0438113DOI10.2307/2373824
- Ryan R. A., Introduction to Tensor Products of Banach Spaces, Springer Monographs in Mathematics, Springer, London, 2002. Zbl1090.46001MR1888309
- Wojtaszczyk P., Banach Spaces for Analysts, Cambridge Studies in Advanced Mathematics, 25, Cambridge University Press, Cambridge, 1991. MR1144277