nfa dvi

➤ Gửi thông báo lỗi ⚠️ Báo cáo tài liệu vi phạm

Loại tài liệu: PDF

Số trang: 166 Trang

Tài liệu: ✅ ĐÃ ĐƯỢC PHÊ DUYỆT

TẢI VỀ

Nội dung chi tiết: nfa dvi

nfa dvi

Nonar chimedean Functional AnalysisPeter SchneiderVersion: 25.10.2005This book grew out of a course which I gave during the winter term 1997/98 at the

nfa dvi e Uni versit at Minister. The course covered the material which here is presented in the first three chapters. The fourth more advanced chapter was ad

ded to give the reader a rather complete tour through all the important aspects of the theory of locally convex vector spaces over nonarch imedean fie nfa dvi

lds. There is one serious restriction, though, which seemed inevitable to me in the interest of a clear presentation. In its deeper aspects the theory

nfa dvi

depends very much on the field being spherically complete or not. To give a drastic example, if the field is not spherically complete then there exis

Nonar chimedean Functional AnalysisPeter SchneiderVersion: 25.10.2005This book grew out of a course which I gave during the winter term 1997/98 at the

nfa dvi s problem a really nice and complete theory which to a large extent is analogous to classical functional analysis can only exist over spherically comp

lete fields. I therefore allowed myself to restrict to this case whenever a conceptual clarity resulted.Although I hope that this text will also be us nfa dvi

eful to the experts as a reference my own motivation for giving that course and writing this book was different. I had the reader in mind who wants to

nfa dvi

use locally convex vector spaces in the applications and needs a text to quickly grasp this theory. There are several areas, mostly in number theory

Nonar chimedean Functional AnalysisPeter SchneiderVersion: 25.10.2005This book grew out of a course which I gave during the winter term 1997/98 at the

nfa dvi an increasing interest in methods from nonarchimedean functional analysis. By the way, discretely valued fields like p-adic number fields as they occ

ur in these applications are spherically complete.This is a textbook which is self-contained in the sense that it requires only some basic knowledge i nfa dvi

n linear algebra and point set topology. Everything presented is well known, nothing is new or original. Some of the material in the last chapter appe

nfa dvi

ars in print for the first time, though. In the references I have listed all the sources I have drawn upon. At the same time this list shows to the re

Nonar chimedean Functional AnalysisPeter SchneiderVersion: 25.10.2005This book grew out of a course which I gave during the winter term 1997/98 at the

nfa dvi ap. I: Foundations§1 Nonarchimedean fields§2 Seminorms§3 Normed vector spaces§4 Locally convex vector spaces§5 Constructions and examples§6 Spaces of

continuous linear maps§7 Completeness§8 Frechet spaces§9 The dual spaceChap. II: The structure of Banach spaces§10 Structure theorems§11 Non-reflexivi nfa dvi

tyChap. Ill: Duality theory§12 c-compact and compactoid submodules§13 Polarity§14 Admissible topologies§15 Reflexivity§10 Compact limitsChap. IV: Nucl

nfa dvi

ear maps and spaces§17 Topological tensor products§18 Completely continuous maps§19 Nuclear spaces§20 Nuclear maps§21 Traces§22 Fredholm theoryReferen

Nonar chimedean Functional AnalysisPeter SchneiderVersion: 25.10.2005This book grew out of a course which I gave during the winter term 1997/98 at the