On the classes of Null almost L-weakly compact and Null almost M-weakly compact operators

Abstract

In this paper, we establish conditions under which each positive Null almost L-weakly compact operator is Null almost M-weakly compact and conversely. Moreover, we provide the necessary and sufficient conditions under which any positive Null almost L-weakly compact operator $T: E\rightarrow F$ admits a Null almost M-weakly compact adjoint $T': F'\rightarrow E'$. Finally, we give some connections between the class of Null almost L-weakly compact (resp. Null almost M-weakly compact) operators and the class of L-weakly compact (resp. M-weakly compact).

Key words: Null almost L-weakly compact operator, Null almost M-weakly compact operator, Banach lattice, KB-space, order continuous norm.

Full Text

Article Information

Title	On the classes of Null almost L-weakly compact and Null almost M-weakly compact operators
Source	Methods Funct. Anal. Topology, Vol. 31 (2025), no. 3, 195-203
DOI	10.31392/MFAT-npu26_3.2025.04
Milestones	Received 22/08/2024 Revised 03/06/2025
Copyright	The Author(s) 2025 (CC BY-SA)

Authors Information

Safae El Filali
MMA, FPL, Abdelmalek Essaadi University, Tetouan, Morocco

Khalid Bouras
MMA, FPL, Abdelmalek Essaadi University, Tetouan, Morocco

Citation Example

Safae El Filali and Khalid Bouras, On the classes of Null almost L-weakly compact and Null almost M-weakly compact operators, Methods Funct. Anal. Topology 31 (2025), no. 3, 195-203.

BibTex

@article {MFAT2124,
    AUTHOR = {Safae El Filali and Khalid Bouras},
     TITLE = {On the classes of Null almost L-weakly compact and
Null almost M-weakly compact operators},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {31},
      YEAR = {2025},
    NUMBER = {3},
     PAGES = {195-203},
      ISSN = {1029-3531},
       DOI = {10.31392/MFAT-npu26_3.2025.04},
       URL = {https://mfat.imath.kiev.ua/article/?id=2124},
}

References

Coming Soon.