Buch, Englisch, 476 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 1040 g
Hypernorms, Hyperseminorms, and Operators
Buch, Englisch, 476 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 1040 g
ISBN: 978-1-77188-534-8
Verlag: Taylor & Francis
Exploration of semitopological vector spaces, hypernormed vector spaces, hyperseminormed vector spaces, and hypermetric vector spaces is the main topic of this book. A new direction in functional analysis, called quantum functional analysis, has been developed based on polinormed and multinormed vector spaces and linear algebras. At the same time, normed vector spaces and topological vector spaces play an important role in physics and in control theory.
To make this book comprehendible for the reader and more suitable for students with some basic knowledge in mathematics, denotations and definitions of the main mathematical concepts and structures used in the book are included in the appendix, making the book useful for enhancing traditional courses of calculus for undergraduates, as well as for separate courses for graduate students. The material of Semitopological Vector Spaces: Hypernorms, Hyperseminorms and Operators is closely related to what is taught at colleges and universities. It is possible to use a definite number of statements from the book as exercises for students because their proofs are not given in the book but left for the reader.
Zielgruppe
Academic and Postgraduate
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
Introduction. Hypernumbers: Constructions and Operations. Hypernorms, Hypermetrics and Hyperseminorms. Hyperoperators, Hyperfunctionals and Extra functions: Constructions and Operations. From Topological Vector Spaces to Semi Topological Vector Spaces. Continuity and Boundedness. From Continuity to Fuzzy Continuity. Approximately Linear Operators. From Boundedness to Multiboundedness. Boundedness and Fuzzy Continuity. Conclusion and Directions for Future Research.