TY  - BOOK
AU  - Gert K.Pedersen 
TI  - Analysis now
T2  - Mathematics Subject Classification
SN  - 9781461269816
AV  - QA320.P 
PY  - 1989///]
CY  - New York
PB  - Springer-Verlag
KW  - Mathematics
N1  - Chapter 1. General Topology
Chapter 2. Banach Spaces
Chapter 3. Hilbert Spaces
Chapter 4. Spectral Theory
Chapter 5. Unbounded Operators
Chapter 6. Integration Theory

N2  - Graduate students in mathematics, who want to travel light, will find this book invaluable; impatient young researchers in other fields will enjoy it as an instant reference to the highlights of modern analysis. Starting with general topology, it moves on to normed and seminormed linear spaces. From there it gives an introduction to the general theory of operators on Hilbert space, followed by a detailed exposition of the various forms the spectral theorem may take; from Gelfand theory, via spectral measures, to maximal commutative von Neumann algebras. The book concludes with two supplementary chapters: a concise account of unbounded operators and their spectral theory, and a complete course in measure and integration theory from an advanced point of view. ---Summary provided by publisher
UR  - https://link.springer.com/book/10.1007/978-1-4612-1007-8#toc
ER  -