Lucid operators on Banach spaces

Peter Kissel; Eberhard Schock

Commentationes Mathematicae Universitatis Carolinae (1990)

  • Volume: 031, Issue: 3, page 489-499
  • ISSN: 0010-2628

How to cite

top

Kissel, Peter, and Schock, Eberhard. "Lucid operators on Banach spaces." Commentationes Mathematicae Universitatis Carolinae 031.3 (1990): 489-499. <http://eudml.org/doc/17871>.

@article{Kissel1990,
author = {Kissel, Peter, Schock, Eberhard},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {linear with unconditionally converging image's decomposition; structure of the ideal of lucid operators on a Banach space; lucid ideal},
language = {eng},
number = {3},
pages = {489-499},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Lucid operators on Banach spaces},
url = {http://eudml.org/doc/17871},
volume = {031},
year = {1990},
}

TY - JOUR
AU - Kissel, Peter
AU - Schock, Eberhard
TI - Lucid operators on Banach spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1990
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 031
IS - 3
SP - 489
EP - 499
LA - eng
KW - linear with unconditionally converging image's decomposition; structure of the ideal of lucid operators on a Banach space; lucid ideal
UR - http://eudml.org/doc/17871
ER -

References

top
  1. Figiel T., Johnson W. B., Tzafriri L., On Banach lattices and spaces having LUST with applications to Lorentz function spaces, J. Approximation Theory 13 (1975), 393-412. (1975) MR0367624
  2. Gordon Y., Lewis D. R., Absolutely summing operators and local unconditional structures, Acta Math. 133 (1974), 27-48. (1974) Zbl0291.47017MR0410341
  3. Kwapien S., Comments to Enflo's construction of a Banach space without the approximation property, Seminaire Goulaouic-Schwartz, 1972-1973. (1972) 
  4. Lindenstrauss J., On a certain sub space of l 1 , Bull. de l'Académie Polonaise des Sciences 12 (1964), 539-542. (1964) MR0174963
  5. Lindenstrauss J., Tzafriri L., Classical Banach Spaces, Springer, Heidelberg, 1973/79. (1973) Zbl0259.46011MR0415253
  6. Pelczynski A., Universal bases, Studia Math. 32 (1969), 247-268. (1969) Zbl0185.37401MR0241954
  7. Pelczynski A., Wojtaszczyk P., Banach spaces with finite dimensional expansions of identity and universal bases of finite dimensional sub spaces, Studia Math. 40 (1971), 91-108. (1971) MR0313765
  8. Persson A., Pietsch A., p-nukleare und p-integrale Abbildungen auf Banachräumen, Studia Math. 33 (1969), 16-62. (1969) 
  9. Pietsch A., Operator Ideals, Deutscher Verlag der Wissenschaften, Berlin, 1978. (1978) Zbl0405.47027MR0519680
  10. Reinov O., Approximation properties of order p and the existence of non-p-nuclear operators with p-nuclear second adjoints, Math. Nachr. 109 (1982), 135-144. (1982) MR0705902
  11. Retherford J. R., Applications of Banach ideals of operators, Bull. AMS 81 (1979), 763-781. (1979) MR0412834
  12. Schwarz H. U., Dualität und Approximation von Normidealen, Math. Nachr. 66 (1975), 305-317. (1975) Zbl0307.47047MR0385593
  13. Singer I., Bases in Banach Spaces I, Springer Verlag, Heidelberg. Zbl0198.16601MR0298399

NotesEmbed ?

top

You must be logged in to post comments.