CHARACTERIZATION OF BEST APPROXIMATION POINTS WITH LATTICE HOMOMORPHISMS

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KHADEMZADEH H.R.; MAZAHERI H.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2014 | Volume:8 | Issue:4 Page(s): 23-37

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Information Journal Paper

Title

CHARACTERIZATION OF BEST APPROXIMATION POINTS WITH LATTICE HOMOMORPHISMS

Author(s)

KHADEMZADEH H.R. | MAZAHERI H. | Issue Writer Certificate

Keywords

BEST APPROXIMATION

IDEAL

LATTICE HOMOMORPHISM

BANACH LATTICE

Abstract

In this paper we prove some characterization theorems in the theory of BEST APPROXIMATION in BANACH LATTICEs. We use a new idea for finding the BEST APPROXIMATION points in an IDEAL. We find the distance between an IDEAL I and an element x by using LATTICE HOMOMORPHISMs. We introduce maximal IDEALs of an AM space and characterize other IDEALs by the maximal IDEALs. We also give a new representation for principle IDEALs in BANACH LATTICEs that is a majorizing subspace and we show that these principle IDEALs are proximinal. The role of LATTICE HOMOMORPHISMs in this paper is very important.

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APA: Copy

KHADEMZADEH, H.R., & MAZAHERI, H.. (2014). CHARACTERIZATION OF BEST APPROXIMATION POINTS WITH LATTICE HOMOMORPHISMS. JOURNAL OF MATHEMATICAL EXTENSION, 8(4), 23-37. SID. https://sid.ir/paper/667109/en

Vancouver: Copy

KHADEMZADEH H.R., MAZAHERI H.. CHARACTERIZATION OF BEST APPROXIMATION POINTS WITH LATTICE HOMOMORPHISMS. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2014;8(4):23-37. Available from: https://sid.ir/paper/667109/en

IEEE: Copy

H.R. KHADEMZADEH, and H. MAZAHERI, “CHARACTERIZATION OF BEST APPROXIMATION POINTS WITH LATTICE HOMOMORPHISMS,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 8, no. 4, pp. 23–37, 2014, [Online]. Available: https://sid.ir/paper/667109/en

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