Domination and equivalence of sequences of subspaces in dual spaces

Pushpa K. Jain; Khalil Ahmad; S. M. Maskey

Czechoslovak Mathematical Journal (1986)

  • Volume: 36, Issue: 3, page 351-357
  • ISSN: 0011-4642

How to cite

top

Jain, Pushpa K., Ahmad, Khalil, and Maskey, S. M.. "Domination and equivalence of sequences of subspaces in dual spaces." Czechoslovak Mathematical Journal 36.3 (1986): 351-357. <http://eudml.org/doc/13587>.

@article{Jain1986,
author = {Jain, Pushpa K., Ahmad, Khalil, Maskey, S. M.},
journal = {Czechoslovak Mathematical Journal},
keywords = {strict domination; strict equivalence of sequences of subspaces in duals of Banach spaces},
language = {eng},
number = {3},
pages = {351-357},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Domination and equivalence of sequences of subspaces in dual spaces},
url = {http://eudml.org/doc/13587},
volume = {36},
year = {1986},
}

TY - JOUR
AU - Jain, Pushpa K.
AU - Ahmad, Khalil
AU - Maskey, S. M.
TI - Domination and equivalence of sequences of subspaces in dual spaces
JO - Czechoslovak Mathematical Journal
PY - 1986
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 36
IS - 3
SP - 351
EP - 357
LA - eng
KW - strict domination; strict equivalence of sequences of subspaces in duals of Banach spaces
UR - http://eudml.org/doc/13587
ER -

References

top
  1. Arsove M. G., 10.1007/BF01343244, Math. Ann. 135 (1958), 283-293. (1958) Zbl0081.10901MR0100788DOI10.1007/BF01343244
  2. Bachelis G. F., 10.2140/pjm.1968.25.229, Pacific J. Math. 25 (1968), 229-247. (1968) Zbl0164.15701MR0244762DOI10.2140/pjm.1968.25.229
  3. Banach S., Théorie des opérations linéaires, Monografje Matematyczne, Warszawa, 1932. (1932) Zbl0005.20901
  4. Gohberg I. C., Markus A. S., On stability of bases of Banach and Hilbert spaces, Izv. Akad. Nauk. Mold. SSR, 5 (1962), 17-35 (Russian). (1962) MR0226365
  5. Gupta M., Kamthan P. K., Rao K. L. N., 10.1007/BF02418378, Ann. Math. Pure Appl., 113 (1977), 287-301. (1977) MR0467245DOI10.1007/BF02418378
  6. Gupta M., Kamthan P. K., Patterson J., 10.1016/0022-247X(81)90230-4, J. Math. Anal. Appl., 82 (1981), 152-168. (1981) MR0626746DOI10.1016/0022-247X(81)90230-4
  7. Jain P. K., Ahmad K., Unconditional Schauder decompositions and best approximations in Banach spaces, Indian J. Pure Appl. Math., 12 (1981), 1456-1467. (1981) Zbl0501.46014MR0639097
  8. Jain P. K., Ahmad K., Maskey S. M., Domination of sequences of subspaces in Banach spaces, (Communicated). Zbl0615.46015
  9. Kamthan P. K., Gupta M., Sequence spaces and series, Marcel Dekker Inc., New York (1981). (1981) Zbl0447.46002MR0606740
  10. Marti J. T., Introduction to the theory of bases, Springer-Verlag, Berlin (1969). (1969) Zbl0191.41301MR0438075
  11. Retherford J. R., 10.2140/pjm.1964.14.1019, Pacific J. Math. 14 (1964), 1019-1027. (1964) Zbl0182.16502MR0170195DOI10.2140/pjm.1964.14.1019
  12. Singer I., 10.1007/BF01350313, Math. Ann. 184 (1970), 113-132. (1970) Zbl0195.12803MR0253022DOI10.1007/BF01350313
  13. Singer I., Bases in Banach spaces I, Springer-Verlag, Berlin (1970). (1970) Zbl0198.16601MR0298399
  14. Singer I., Bases in Banach spaces II, Springer-Verlag, Berlin (1981). (1981) Zbl0467.46020MR0610799
  15. Veic B. E., On some stability properties of bases, Dokl. Akad. Nauk. SSSR, 158 (1964), 13-16 (Russian). (1964) MR0177281
  16. Veic B. E., Besselian and Hilbertian systems in Banach spaces and problems of stability, Izv. vys. uč. zaved. Mathematika, 2 (45), (1965), 7-23 (Russian). (1965) MR0192323

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.