W-* Algebras (Notes on Mathematics and its Applications)

Small spot of ribbling to top left hand corner front pastedown. Slight wear to spine, covers & corners.; The book "W*-Algebras" by J. T. Schwartz is a foundational work in the mathematical theory of operator algebras, specifically focusing on von Neumann algebras, which are also known as W*-algebras. This book is highly regarded for its clarity and completeness, playing an influential role in the development of functional analysis and quantum theory during the mid-20th century. J. T. Schwartz—Jacob Theodore "Jack" Schwartz (1930—2009) —was an American mathematician and computer scientist noted for his pioneering work in both pure mathematics and computer science. He served as a professor at the Courant Institute of Mathematical Sciences at New York University for over four decades. Schwartz made major contributions in diverse fields, ranging from abstract mathematical analysis to quantum theory, economics, and computer science. He was the founder and long-time chairman of NYU's Computer Science Department and helped shape topics such as programming language design and parallel computation. "W*-Algebras" exemplifies Schwartz's depth in pure mathematics. He systematized and clarified the general theory of von Neumann algebras acting on separable Hilbert spaces, with emphasis on direct integral decompositions. The book became an authoritative reference for mathematicians and physicists working with operator algebras, spectral theory, and quantum mechanics. Its lasting relevance highlights its importance in both pure and applied mathematics.; 8vo 8" - 9" tall.…