On the class of b-L-weakly and order M-weakly compact operators

Driss Lhaimer; Mohammed Moussa; Khalid Bouras

Mathematica Bohemica (2020)

  • Volume: 145, Issue: 3, page 255-264
  • ISSN: 0862-7959

Abstract

top
In this paper, we introduce and study new concepts of b-L-weakly and order M-weakly compact operators. As consequences, we obtain some characterizations of KB-spaces.

How to cite

top

Lhaimer, Driss, Moussa, Mohammed, and Bouras, Khalid. "On the class of b-L-weakly and order M-weakly compact operators." Mathematica Bohemica 145.3 (2020): 255-264. <http://eudml.org/doc/297245>.

@article{Lhaimer2020,
abstract = {In this paper, we introduce and study new concepts of b-L-weakly and order M-weakly compact operators. As consequences, we obtain some characterizations of KB-spaces.},
author = {Lhaimer, Driss, Moussa, Mohammed, Bouras, Khalid},
journal = {Mathematica Bohemica},
keywords = {L-weakly compact operator; M-weakly compact operator; b-order bounded operator; b-weakly compact operator; b-L-weakly compact operator; order M-weakly compact operator; KB-space},
language = {eng},
number = {3},
pages = {255-264},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the class of b-L-weakly and order M-weakly compact operators},
url = {http://eudml.org/doc/297245},
volume = {145},
year = {2020},
}

TY - JOUR
AU - Lhaimer, Driss
AU - Moussa, Mohammed
AU - Bouras, Khalid
TI - On the class of b-L-weakly and order M-weakly compact operators
JO - Mathematica Bohemica
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 145
IS - 3
SP - 255
EP - 264
AB - In this paper, we introduce and study new concepts of b-L-weakly and order M-weakly compact operators. As consequences, we obtain some characterizations of KB-spaces.
LA - eng
KW - L-weakly compact operator; M-weakly compact operator; b-order bounded operator; b-weakly compact operator; b-L-weakly compact operator; order M-weakly compact operator; KB-space
UR - http://eudml.org/doc/297245
ER -

References

top
  1. Aliprantis, C. D., Burkinshaw, O., 10.2307/2044122, Proc. Am. Math. Soc. 83 (1981), 573-578. (1981) Zbl0452.47038MR0627695DOI10.2307/2044122
  2. Aliprantis, C. D., Burkinshaw, O., 10.1007/978-1-4020-5008-4, Springer, Dordrecht (2006). (2006) Zbl1098.47001MR2262133DOI10.1007/978-1-4020-5008-4
  3. Alpay, S., Altin, B., Tonyali, C., 10.1023/A:1025840528211, Positivity 7 (2003), 135-139. (2003) Zbl1036.46018MR2028377DOI10.1023/A:1025840528211
  4. Alpay, S., Altin, B., Tonyali, C., 10.1007/s10587-006-0054-0, Czech. Math. J. 56 (2006), 765-772. (2006) Zbl1164.46310MR2291773DOI10.1007/s10587-006-0054-0
  5. Dodds, P. G., 10.2307/1997114, Trans. Am. Math. Soc. 214 (1975), 389-402. (1975) Zbl0313.46011MR0385629DOI10.2307/1997114
  6. Meyer-Nieberg, P., 10.1007/BF01214230, Math. Z. 138 (1974), 145-159 German. (1974) Zbl0291.47020MR0353053DOI10.1007/BF01214230
  7. Meyer-Nieberg, P., 10.1007/978-3-642-76724-1, Universitext. Springer, Berlin (1991). (1991) Zbl0743.46015MR1128093DOI10.1007/978-3-642-76724-1
  8. Zaanen, A. C., 10.1016/s0924-6509(08)x7015-1, North-Holland Mathematical Library, Volume 30. North-Holland, Amsterdam (1983). (1983) Zbl0519.46001MR0704021DOI10.1016/s0924-6509(08)x7015-1

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.