Author:
Celik Mehmet, ,Olgun Necati,
Abstract
Banach and Hillbert spaces are the main important concepts in the study of classical functional analysis. This paper generalizes these two kinds of functional spaces into neutrosophic systems, where the concept of neutrosophic Banach space and neutrosophic Hillbert space will be defined and discussed for the first time over partial ordered neutrosophic spaces. Also, many related concepts such as neutrosophic Cauchy sequence, neutrosophic Bessel's inequality, and neutrosophic Parseval's identity will be established and proved.
Publisher
American Scientific Publishing Group
Subject
Surfaces, Coatings and Films,Surfaces and Interfaces,Mechanics of Materials,Condensed Matter Physics,Bioengineering,Biotechnology,Cardiology and Cardiovascular Medicine,Surgery,Cardiology and Cardiovascular Medicine,Surgery,Cardiology and Cardiovascular Medicine,Surgery,Rehabilitation,Orthopedics and Sports Medicine,Surgery,Ecology,Ecology, Evolution, Behavior and Systematics,Nature and Landscape Conservation,Pollution,Ecology, Evolution, Behavior and Systematics,Economics and Econometrics,Sociology and Political Science,Finance,Economics and Econometrics,Sociology and Political Science,Economics and Econometrics
Cited by
1 articles.
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