Function Spaces and Operators between them
The aim of this work is to present, in a unified and reasonably self-contained way, certain aspects of functional analysis which are needed to treat function spaces whose topology is not derived from a single norm, their topological duals and operators between those spaces. We treat spaces of contin...
Kaydedildi:
| Asıl Yazarlar: | , , |
|---|---|
| Müşterek Yazar: | |
| Materyal Türü: | Elektronik Ekitap |
| Dil: | İngilizce |
| Baskı/Yayın Bilgisi: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2023.
|
| Edisyon: | 1st ed. 2023. |
| Seri Bilgileri: | RSME Springer Series,
11 |
| Konular: | |
| Online Erişim: | https://doi.org/10.1007/978-3-031-41602-6 |
| Etiketler: |
Etiketle
Etiket eklenmemiş, İlk siz ekleyin!
|
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-41602-6 | ||
| 003 | DE-He213 | ||
| 005 | 20260909103537.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 231028s2023 sz | o |||| 0|eng d | ||
| 020 | |a 9783031416026 |9 978-3-031-41602-6 | ||
| 024 | 7 | |a 10.1007/978-3-031-41602-6 |2 doi | |
| 050 | 4 | |a QA319-329.9 | |
| 072 | 7 | |a PBKF |2 bicssc | |
| 072 | 7 | |a MAT037000 |2 bisacsh | |
| 072 | 7 | |a PBKF |2 thema | |
| 082 | 0 | 4 | |a 515.7 |2 23 |
| 100 | 1 | |a Bonet, José. |e author. |0 (orcid)0000-0002-9096-6380 |1 https://orcid.org/0000-0002-9096-6380 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Function Spaces and Operators between them |h [electronic resource] / |c by José Bonet, David Jornet, Pablo Sevilla-Peris. |
| 250 | |a 1st ed. 2023. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2023. | |
| 300 | |a 1 online resource (XV, 269 p. 9 illus.). |b 6 illus. in color. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 341 | 0 | |b Table of contents navigation |2 onix | |
| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Short alternative textual descriptions |2 onix | |
| 341 | 0 | |b Use of colour is Not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background colour |2 onix | |
| 341 | 0 | |b Next / Previous structural navigation |2 onix | |
| 341 | 0 | |b All Non-decorative content supports reading without sight |2 onix | |
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a RSME Springer Series, |x 2509-8896 ; |v 11 | |
| 520 | |a The aim of this work is to present, in a unified and reasonably self-contained way, certain aspects of functional analysis which are needed to treat function spaces whose topology is not derived from a single norm, their topological duals and operators between those spaces. We treat spaces of continuous, analytic and smooth functions as well as sequence spaces. Operators of differentiation, integration, composition, multiplication and partial differential operators between those spaces are studied. A brief introduction to Laurent Schwartz’s theory of distributions and to Lars Hörmander’s approach to linear partial differential operators is presented. The novelty of our approach lies mainly on two facts. First of all, we show all these topics together in an accessible way, stressing the connection between them. Second, we keep it always at a level that is accessible to beginners and young researchers. Moreover, parts of the book might be of interest for researchers in functional analysis and operator theory. Our aim is not to build and describe a whole, complete theory, but to serve as an introduction to some aspects that we believe are interesting. We wish to guide any reader that wishes to enter in some of these topics in their first steps. Our hope is that they learn interesting aspects of functional analysis and become interested to broaden their knowledge about function and sequence spaces and operators between them. The text is addressed to students at a master level, or even undergraduate at the last semesters, since only knowledge on real and complex analysis is assumed. We have intended to be as self-contained as possible, and wherever an external citation is needed, we try to be as precise as we can. Our aim is to be an introduction to topics in, or connected with, different aspects of functional analysis. Many of them are in some sense classical, but we tried to show a unified direct approach; some others are new. This is why parts of these lectures might be of some interest even for researchers in related areas of functional analysis or operator theory. There is a full chapter about transitive and mean ergodic operators on locally convex spaces. This material is new in book form. It is a novel approach and can be of interest for researchers in the area. | ||
| 532 | 8 | |a Accessibility summary: This PDF does Not fully comply with PDF/UA standards but does include limited screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility | |
| 532 | 8 | |a Inaccessible, or known limited accessibility | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Functional analysis. | |
| 650 | 1 | 4 | |a Functional Analysis. |
| 700 | 1 | |a Jornet, David. |e author. |0 (orcid)0000-0002-3531-6203 |1 https://orcid.org/0000-0002-3531-6203 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Sevilla-Peris, Pablo. |e author. |0 (orcid)0000-0001-5222-4768 |1 https://orcid.org/0000-0001-5222-4768 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031416019 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031416033 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031416040 |
| 830 | 0 | |a RSME Springer Series, |x 2509-8896 ; |v 11 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-41602-6 |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||