Zhangjun Wang, Zili Chen, Jinxi Chen
Abstract
In this paper, using the unbounded norm convergence in Banach lattices, we define new classes of operators, named unbounded norm continuous(for short, un-continuous) and strong continuous operators. We study the properties of those operators and the relationship with other operators.
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In this paper, using the unbounded norm convergence in Banach lattices, we define new classes of operators, named unbounded norm continuous(for short, un-continuous) and strong continuous operators. We study the properties of those operators and the relationship with other operators.
Key concepts: Mathematics, Operator norm, Norm (philosophy), Operator theory, Pure mathematics, Approximation property, Banach space, Law