2. / Gottfried Köthe ; Translated by D. J. H. Garling

• Autore: Köthe, Gottfried
• Pubblicazione: New York, : Springer, 1979
• Descrizione fisica: xii, 334 p. : ill. ; 24 cm
• Soggetto topico: 46-XX - Functional analysis [MSC 2020]; 46A20 - Duality theory for topological vector spaces [MSC 2020]; 46A30 - Open mapping and closed graph theorems; completeness (including $B$-, $B_r$-completeness) [MSC 2020]; 46A32 - Spaces of linear operators; topological tensor products; approximation properties [MSC 2020]; 46M05 - Tensor products in functional analysis [MSC 2020]
• Soggetto non controllato: Algebra; Approximation; Compactness; Duality; Equations; Finite; Functions; Graphs; Invariants; Mathematics; Metrizable; Morphism; Topology; Vector spaces
• Persona (resp. second.): Garling, David J. H.
• Nota di contenuto: In the preface to Volume One I promised a second volume which would contain the theory of linear mappings and special classes of spaces im­ portant in analysis. It took me nearly twenty years to fulfill this promise, at least to some extent. To the six chapters of Volume One I added two new chapters, one on linear mappings and duality (Chapter Seven), the second on spaces of linear mappings (Chapter Eight). A glance at the Contents and the short introductions to the two new chapters will give a fair impression of the material included in this volume. I regret that I had to give up my intention to write a third chapter on nuclear spaces. It seemed impossible to include the recent deep results in this field without creating a great further delay. A substantial part of this book grew out of lectures I held at the Mathematics Department of the University of Maryland· during the academic years 1963-1964, 1967-1968, and 1971-1972. I would like to express my gratitude to my colleagues J. BRACE, S. GOLDBERG, J. HORVATH, and G. MALTESE for many stimulating and helpful discussions during these years. I am particularly indebted to H. JARCHOW (Ziirich) and D. KEIM (Frankfurt) for many suggestions and corrections. Both have read the whole manuscript. N. ADASCH (Frankfurt), V. EBERHARDT (Miinchen), H. MEISE (Diisseldorf), and R. HOLLSTEIN (Paderborn) helped with important observations.
• Titolo autorizzato: 2
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: VAN00268304
• Lo trovi qui: Univ. Vanvitelli
• Localizzazioni e accesso elettronico: https://doi.org/10.1007/978-1-4684-9409-9
• Serie: Grundlehren der mathematischen Wissenschaften : A series of comprehensive texts in mathematics Berlin [etc.] . -Springer , 1921- ; 237