Open AccessContinuous Linear Operators On Infinite Quasi-Sobolev Spaces ℓ∞m
Author(s) -
Jawad Kadhim K. Al-Delfi
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1897/1/012044
Subject(s) - algorithm , sobolev space , computer science , artificial intelligence , mathematics , mathematical analysis
In this study, the concept of infinite quasi-Sobolev spaces ℓ ∞ m , where m ∈ ℝ is considered. These spaces have been proved as quasi-Banach spaces, as well as, Banach spaces, while they neither Hilbert spaces nor quasi-Hilbert spaces. Some kinds of linear operators such as continuous, bounded, closed and completely continuous for operators which map ℓ ∞ m or ℓ 1 m into ℓ ∞ m are discussed.