On the Quotients of Regular Operators

Erdal Bayram; Cansu Binnaz Binbaşıoğlu

doi:10.32323/ujma.509358

EN

On the Quotients of Regular Operators

Abstract

We give some results about quotients of regular operators on Banach lattices by the linear span of the positive M-weakly and positive L-weakly compact operators. We also present a representation of the quotient space created by the linear span of the positive L-weakly compact operators.

Keywords

Regular operators,L-weakly compact operator,M-weakly compact operator,Banach lattice,Quotient space,Regular operators

References

[1] E. Bayram, A. W. Wickstead, Banach lattices of L-weakly and M-weakly compact operators, Arch. Math. (Basel) 108(2017), 293–299.
[2] H. H. Schaefer, Banach Lattices and Positive Operators, Springer-Verlag, Berlin-Heidelberg-New York, 1974.
[3] C. D. Aliprantis and O. Burkinshaw, Positive Operators, Pure and Applied Mathematics, vol. 119, Academic Press, Inc., Orlando, FL, 1985.
[4] P. Meyer-Nieberg, Banach Lattices, Universitext, Springer-Verlag, Berlin, 1991.
[5] W. Wnuk, Banach Lattices with Order Continuous Norms, Advenced Topics in Mathematics, Polish Scientific Publishers PWN, Warsaw, 1999.
[6] A. W. Wickstead, Regular operators between Banach lattices, Positivity, TrendsMath., Birkhauser, Basel, 2007.
[7] W. A. J. Luxemburg, A.C. Zaanen, Riesz Spaces I, North-Holland Publ., Amsterdam, 1971.
[8] Z. L. Chen and A. W. Wickstead, L-weakly and M-weakly compact operators, Indag. Math. (N.S.), 10(3) (1999), 321-336.
[9] E. Bayram , W. Wnuk, Some Algebra Ideals Of Regular Operators, Comment. Math. 532 (2013), 127-133.
[10] Z. L. Chen, Y. Feng, J.X. Chen, The Order Continuity of the Regular Norm on Regular Operator Spaces, Abstr. Appl. Anal., (2013), Article ID 183786, 7 pages.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Erdal Bayram ^*
0000-0001-8488-359X
Türkiye

Cansu Binnaz Binbaşıoğlu This is me
Türkiye

Publication Date

March 20, 2019

Submission Date

January 7, 2019

Acceptance Date

February 26, 2019

Published in Issue

Year 2019 Volume: 2 Number: 1

DOI

https://doi.org/10.32323/ujma.509358

IZ

https://izlik.org/JA52BS73YL

APA

Bayram, E., & Binbaşıoğlu, C. B. (2019). On the Quotients of Regular Operators. Universal Journal of Mathematics and Applications, 2(1), 44-47. https://doi.org/10.32323/ujma.509358

AMA

1.Bayram E, Binbaşıoğlu CB. On the Quotients of Regular Operators. Univ. J. Math. Appl. 2019;2(1):44-47. doi:10.32323/ujma.509358

Chicago

Bayram, Erdal, and Cansu Binnaz Binbaşıoğlu. 2019. “On the Quotients of Regular Operators”. Universal Journal of Mathematics and Applications 2 (1): 44-47. https://doi.org/10.32323/ujma.509358.

EndNote

Bayram E, Binbaşıoğlu CB (March 1, 2019) On the Quotients of Regular Operators. Universal Journal of Mathematics and Applications 2 1 44–47.

IEEE

[1]E. Bayram and C. B. Binbaşıoğlu, “On the Quotients of Regular Operators”, Univ. J. Math. Appl., vol. 2, no. 1, pp. 44–47, Mar. 2019, doi: 10.32323/ujma.509358.

ISNAD

Bayram, Erdal - Binbaşıoğlu, Cansu Binnaz. “On the Quotients of Regular Operators”. Universal Journal of Mathematics and Applications 2/1 (March 1, 2019): 44-47. https://doi.org/10.32323/ujma.509358.

JAMA

1.Bayram E, Binbaşıoğlu CB. On the Quotients of Regular Operators. Univ. J. Math. Appl. 2019;2:44–47.

MLA

Bayram, Erdal, and Cansu Binnaz Binbaşıoğlu. “On the Quotients of Regular Operators”. Universal Journal of Mathematics and Applications, vol. 2, no. 1, Mar. 2019, pp. 44-47, doi:10.32323/ujma.509358.

Vancouver

1.Erdal Bayram, Cansu Binnaz Binbaşıoğlu. On the Quotients of Regular Operators. Univ. J. Math. Appl. 2019 Mar. 1;2(1):44-7. doi:10.32323/ujma.509358