ProofWiki:Mathematicians/Paul Richard Halmos

Hungarian-born mathematician who made fundamental advances in the areas of probability theory, statistics, operator theory, and functional analysis (in particular, Hilbert spaces).

Nationality

Hungarian-American

History

• Born: 3 March 1916, Budapest, Hungary
• Died: 2 Oct 2006, Los Gatos, California, USA

Achievements

• Iff
• Halmos Function
• Halmos Symbol

Books and Papers

• 1942: Finite-Dimensional Vector Spaces
• 1950: Measure Theory
• 1951: Introduction to Hilbert Space and the Theory of Spectral Multiplicity
• 1956: Lectures on Ergodic Theory
• 1960: Naive Set Theory
• 1962: Algebraic Logic
• 1963: Lectures on Boolean Algebras
• 1967: A Hilbert Space Problem Book
• 1978: Bounded Integral Operators on $L^2$ Spaces (with V. Sunder)
• 1985: I Want to Be a Mathematician
• 1987: I Have a Photographic Memory
• 1991: Problems for Mathematicians, Young and Old
• 1996: Linear Algebra Problem Book
• 1998: Logic as Algebra (with Steven Givant)

Also see

• John J. O'Connor and Edmund F. Robertson: "Paul Richard Halmos": MacTutor History of Mathematics archive