Book Details

A Primer on Hilbert Space Theory (2nd Edition) by Carlo Alabiso and Ittay Weiss offers a concise yet comprehensive introduction to one of the central structures in modern mathematics — the Hilbert space. This updated edition refines the exposition, adds new examples, and provides deeper insights into the geometric and functional aspects that make Hilbert spaces essential in fields such as quantum mechanics, signal processing, and spectral theory.

Written with clarity and precision, this text bridges the gap between undergraduate analysis and advanced research, making it ideal for graduate students, instructors, and professionals seeking a strong foundation in functional analysis. Whether you’re revisiting core concepts or exploring the abstract beauty of Hilbert spaces for the first time, this book delivers rigorous mathematics with a pedagogical touch.

Key Features:

Expanded and updated 2nd edition with new exercises and examples

Balanced approach combining theory and intuition

Ideal for courses in functional analysis and mathematical physics

Authored by experienced mathematicians and educators