Work

Some Results on the Minkowski Difference in Topological Vector Spaces

Year: 2026

Type: article

Abstract: This work highlights important topological properties of Minkowski operations defined in topological vector spaces. The distributivity of Minkowski sum and difference operations with respect to the Cartesian product of sets is proved. Conditions under which the density property of sets is preserved under Minkowski operations are obtained. Furthermore, it is established as a theorem that the Minkowski difference operation is continuous in the class of compact convex sets, and this is proved using topological methods.

Source: UZBEKISTAN JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE

DOI: 10.56143/ujmcs.v2i2.4/

Authors: Adilbek Zaitov, Jalolxon Nuritdinov

Institutions: Tashkent Institute of Architecture and Civil Engineering, Kokand State University

Language: English

Topic: Advanced Banach Space Theory

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W7224999840

FWCI:

Cites: 9

Cited by:

Related to: 10