Stereotype Spaces and Algebras
Seiten
2022
De Gruyter (Verlag)
978-3-11-078086-4 (ISBN)
De Gruyter (Verlag)
978-3-11-078086-4 (ISBN)
The term “stereotype space” was introduced in 1995 and denotes a category of locally convex spaces with surprisingly elegant properties. Its study gives an unexpected point of view on functional analysis that brings this fi eld closer to other main branches of mathematics, namely, to algebra and geometry. This volume contains the foundations of the theory of stereotype spaces, with accurate definitions, formulations, proofs, and numerous examples illustrating the interaction of this discipline with the category theory, the theory of Hopf algebras, and the four big geometric disciplines: topology, differential geometry, complex geometry, and algebraic geometry.
Sergei S. Akbarov, HSE, Moscow Institute of Electronics and Mathematics, Russia
| Erscheinungsdatum | 10.05.2022 |
|---|---|
| Reihe/Serie | De Gruyter Expositions in Mathematics ; 73 |
| Verlagsort | Berlin/Boston |
| Sprache | englisch |
| Maße | 170 x 240 mm |
| Gewicht | 1439 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Schlagworte | Algebraische Geometrie • approximation property • *-autonomous category. • closed monoidal category • Duality • Duality, locally convex space, stereotype space, stereotype algebra, Hopf algebra, group algebra, fu • Duality, locally convex space, stereotype space, stereotype algebra, Hopf algebra, group algebra, functional algebra, integration, closed monoidal category, enriched category, Tannaka theorem, approximation property. • Duality, locally convex space, stereotype space, stereotype algebra, Hopf algebra, group algebra, functional algebra, integration, closed monoidal category, enriched category, Tannaka theorem, approximation property, *-autonomous category. • Enriched category • Functional algebra • group algebra • Hopf algebra • Integration • konvexe Räume • Konvexer Raum • locally convex space • Stereotype Algebra • stereotype space • Stereotype spaces and algebras, categories, convex spaces, stereotype duality, Banach and Smith spaces, Fréchet and Brauner spaces. • Tannaka theorem |
| ISBN-10 | 3-11-078086-0 / 3110780860 |
| ISBN-13 | 978-3-11-078086-4 / 9783110780864 |
| Zustand | Neuware |
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Buch | Softcover (2022)
Springer Spektrum (Verlag)
CHF 55,95
