Zabreiko's Lemma with Bicomplex and hyperbolic scalars and its applications

• Published in: arXiv.org
• Main Authors: Rane, Akshay S, Thatte, Mandar
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 16.01.2024
• Subjects: Complex numbers; Functional analysis; Modules; Scalars; Theorems

In this paper, we shall consider the notion of hyperbolic semi norm which on a module \(X\) to set of all positive hyperbolic numbers. We shall prove the characterization of continuity of hyperbolic semi norm in this setup. We shall prove Zabreiko's lemma when \(X\) is a F, \(\mathbb{BC}\) modu...