Introductory Functional Analysis with ApplicationsProvides avenues for applying functional analysis to the practical study of natural sciences as well as mathematics. Contains worked problems on Hilbert space theory and on Banach spaces and emphasizes concepts, principles, methods and major applications of functional analysis. |
Contents
Metric Spaces | 1 |
AC Complement of a set A 18 609 | 11 |
A sequence space | 34 |
Normed Spaces Banach Spaces | 49 |
Co A sequence space | 70 |
Complex plane or the field of complex numbers 6 51 | 83 |
Dimension of a space X 54 | 114 |
Inner Product Spaces Hilbert Spaces | 127 |
Spectral Theory of Bounded | 459 |
Ex Spectral family | 494 |
Unbounded Linear Operators | 523 |
Unbounded Linear Operators | 571 |
f Norm of a bounded linear functional ƒ 104 | 582 |
Some Material for Review | 609 |
Families | 617 |
Answers to OddNumbered Problems | 623 |
Ca b | 225 |
Banach Fixed | 299 |
Approximation | 327 |
Spectral Theory of Linear Operators | 363 |
Compact Linear Operators on Normed | 405 |
References | 675 |
Index | 681 |
459 | 684 |
363 | 687 |
Copyright | |
Other editions - View all
References to this book
An Introduction to Infinite-Dimensional Linear Systems Theory Ruth F. Curtain,Hans Zwart Limited preview - 1995 |
An Introduction to Partial Differential Equations Michael Renardy,Robert C. Rogers No preview available - 2004 |