Year: 2025
Type: article
Abstract: In this paper, we introduce and investigate the concepts of sesquilinear Aforms and bilinear A-forms, which extend the classical notions of sesquilinear and bilinear forms to modules over C * -algebras.Rigorous definitions for both left and right sesquilinear A-forms, as well as bilinear A-forms, are provided together with illustrative examples.Several structural properties of these A-forms are established, including their relationships with corresponding quadratic A-forms and inequalities analogous to the Cauchy-Schwarz inequality.The results presented here form a foundational framework for further research in A-valued functional analysis and operator theory.
DOI: 10.62476/jcam.161.10
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4415243286
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