Weak * -norm sequentially continuous operators

Alimohammady Mohsen

Mathematica Slovaca (2000)

  • Volume: 50, Issue: 3, page 357-363
  • ISSN: 0139-9918

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Mohsen, Alimohammady. "Weak$^\ast $-norm sequentially continuous operators." Mathematica Slovaca 50.3 (2000): 357-363. <http://eudml.org/doc/34518>.

@article{Mohsen2000,
author = {Mohsen, Alimohammady},
journal = {Mathematica Slovaca},
keywords = {Grothendieck space; Mazur space; compact operator; weak-norm sequentially continuous; strictly cosingular; space of all bounded weak*-norm sequentially continuous linear maps},
language = {eng},
number = {3},
pages = {357-363},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Weak$^\ast $-norm sequentially continuous operators},
url = {http://eudml.org/doc/34518},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Mohsen, Alimohammady
TI - Weak$^\ast $-norm sequentially continuous operators
JO - Mathematica Slovaca
PY - 2000
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 50
IS - 3
SP - 357
EP - 363
LA - eng
KW - Grothendieck space; Mazur space; compact operator; weak-norm sequentially continuous; strictly cosingular; space of all bounded weak*-norm sequentially continuous linear maps
UR - http://eudml.org/doc/34518
ER -

References

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  1. BOMBAL F., On (V*) sets and Pełczyński's property (V*), Glasgow Math. J. 32 (1990), 109-120. (1990) MR1045091
  2. BOURGAIN J., A note on the Lebesgue spaces of vector valued functions, Bull. Soc. Math. Belg. Sér. B 31 (1979), 45-47. (1979) Zbl0434.46016MR0592659
  3. BOURGAIN J.-DIESTEL J., Limited operators and strictly cosingularity, Math. Nachr. 119 (1984), 55-58. (1984) MR0774176
  4. COLLINS H. S.-RUESS W., Weak compactness in spaces of compact operators and of vector valued functions, Pacific J. Math. 106 (1983), 45-71. (1983) Zbl0488.46057MR0694671
  5. DIESTEL J., Sequences and Series in Banach Spaces, Grad. Texts in Math., Springer-Verlag, New York, 1984. (1984) MR0737004
  6. DIESTEL J.-UHL, Jr.-J. J., Vector Masures, Math. Surveys Monographs 15, Amer. Math. Soc, Providence, RI, 1977. (1977) 
  7. DREWNOWSKI L., On Banach spaces with the Gelfand-Phillips property, Math. Z. 193 (1986), 405-411. (193) MR0862887
  8. DREWNOWSKI L.-EMMANUELE G., On Banach spaces with the Gelfand-Phillips property II, Rend. Circ. Mat. Palermo (2) 38 (1989), 377-391. (1989) Zbl0689.46004MR1053378
  9. EMMANUELE G., Banach spaces in which Dunford-Pettis sets a,re relatively compact, Arch. Math. (Basel) 58 (1992), 477-485. (1992) MR1156580
  10. EMMANUELE G., On complemented copies of c0 in spaces of operators II, Comment. Math. Univ. Carolin. 35 (1994), 259-261. (1994) MR1286572
  11. EMMANUELE G., On the reciprocal, Dunford-Pettis property in projective tensor products, Math. Proc. Cambridge Philos. Soc. 109 (1991), 161-166. (1991) Zbl0752.46042MR1075128
  12. EMMANUELE G., Remarks on the uncomplemented subspace W(E,F), J. Funct. Anal. 99 (1991), 125-130. (1991) Zbl0769.46006MR1120917
  13. FEDER M., On the non-existence of a projection onto the space of compact operators, Canad. Math. Bull. 25 (1962), 78-81. (1962) MR0657655
  14. FERRANDO J. C., Copies of c0 in certain vector valued function Banach spaces, Math. Scand. 77 (1995), 148-152. (1995) MR1365911
  15. JOHNSON J., Remarks on Banach spaces of compact operators, J. Funct. Anal. 32 (1979), 304-311. (1979) Zbl0412.47024MR0538857
  16. KALTON N. J., Spaces of compact operators, Math. Ann. 208 (1974), 267-278. (1974) Zbl0266.47038MR0341154
  17. MENDOZA J., Copies of classical sequence spaces in vector valued function Banach spaces, In: Lecture Notes in Pure and Appl. Math. 172, Dekker, New York, 1996, pp. 311-320. (1996) MR1352238
  18. PELCZYNSKI A., Banach spaces on which every unconditionally converging operator is weakly compact, Bull. Acad. Pol. Sci., Ser. Sci. Math. Astron. Phys. 10 (1962), 641-648. (1962) Zbl0107.32504MR0149295
  19. ROSENTHAL H. P., On relatively disjoint families of measures, with some application to Banach space theory, Studia Math. 37 (1979), 13-36. (1979) MR0270122
  20. RUESS W.-STEGALL C. P., Extreme points in duals of operator spaces, Math. Ann. 261 (1980), 535-546. (1980) MR0682665
  21. RYAN R. A., Complemented copies of c0 in the space of compact operators, Proc. Roy. Irish Acad. Sect. A 91A (1991), 239-241. (1991) MR1173375
  22. ZAFARANI J., Grothendieck space of compact operators, Math. Nachr. 174 (1995), 317-322. (1995) MR1349054

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