Unconditionally convergent series of compact operators

Charles W. Swartz

Commentationes Mathematicae Universitatis Carolinae (1989)

  • Volume: 030, Issue: 2, page 321-322
  • ISSN: 0010-2628

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Swartz, Charles W.. "Unconditionally convergent series of compact operators." Commentationes Mathematicae Universitatis Carolinae 030.2 (1989): 321-322. <http://eudml.org/doc/17742>.

@article{Swartz1989,
author = {Swartz, Charles W.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {series of compact operators between Banach spaces is subseries convergent with respect to the weak operator topology if and only if it is subseries convergent with respect to the norm topology},
language = {eng},
number = {2},
pages = {321-322},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Unconditionally convergent series of compact operators},
url = {http://eudml.org/doc/17742},
volume = {030},
year = {1989},
}

TY - JOUR
AU - Swartz, Charles W.
TI - Unconditionally convergent series of compact operators
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1989
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 030
IS - 2
SP - 321
EP - 322
LA - eng
KW - series of compact operators between Banach spaces is subseries convergent with respect to the weak operator topology if and only if it is subseries convergent with respect to the norm topology
UR - http://eudml.org/doc/17742
ER -

References

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  1. Antosik P., Swartz C., Matrix Methods in Analysis, Lecture Notes in Mathematics 1113, Springer-Verlag, Heidelberg, 1985. (1985) Zbl0564.46001MR0781343
  2. Day M., Normed Linear Spaces, Springer-Verlag, New York, 1962. (1962) Zbl0100.10802
  3. Diestel J., Faires B., On vector measures, Trans. Amer. Math. Soc. 198 (1974), 253-271. (198) MR0350420
  4. Dunford N., Schwartz J., Linear Operators I, Interscience, New York, 1958. (1958) 
  5. Kaftal V., Wiess G., A Riemann type theorem for unconditional convergence of operators, Proc. Amer. Math. Soc. 98 (1986), 431-435. (1986) MR0857935
  6. Kalton N.J., Spaces of compact operators, Math. Ann. 208 (1974), 267-278. (1974) Zbl0266.47038MR0341154
  7. Ricker W., Vector measures with values in the compact operators, Proc. Amer. Math. Soc. 102 (1988), 441-442. (1988) Zbl0645.46037MR0921014
  8. Swartz C., Orlicz-Pettis theorems for operators, Southeast Asian Bull. Math. (to appear). Zbl0711.47024MR0978178

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