In 1989, Stone died in Madras, India (now referred to as Chennai), due to a stroke. Following his death, many mathematicians praised Stone for his contributions to various mathematical fields. For instance, University of Massachusetts Amherst mathematician Larry Mann claimed that "Professor Stone was one of the greatest American mathematicians of this century," while Mac Lane described how Stone made the University of Chicago mathematics department the "best department in mathematics in the country in that period."[2]
In 1932, he published a 662 page long monograph titled Linear transformations in Hilbert space and their applications to analysis, which was a presentation about self-adjoint operators. Much of its content is now deemed to be part of functional analysis.
In 1934, he published two papers setting out what is now called Stone–Čech compactification theory. This theory grew out of his attempts to understand more deeply his results on spectral theory.
In 1937, he published the Stone–Weierstrass theorem which generalized Weierstrass's theorem on the uniform approximation of continuous functions by polynomials.
Stone, M. H. (1926). "A comparison of the series of Fourier and Birkhoff". Trans. Amer. Math. Soc. 28 (4): 695–761. doi:10.1090/s0002-9947-1926-1501372-6. MR 1501372.
Linear transformations in Hilbert space and their applications to analysis. New York: American Mathematical Society. 1932.[7]
Stone, M. H. (1934). "Boolean algebras and their applications to topology". Proc Natl Acad Sci U S A. 20 (3): 197–202. Bibcode:1934PNAS...20..197S. doi:10.1073/pnas.20.3.197. PMC 1076376. PMID 16587875.
The theory of real functions. Ann Arbor: Edwards Brothers. 1940.
Stone, Marshall H. (1957). "Mathematics and the future of science". Bull. Amer. Math. Soc. 63 (2): 61–76. doi:10.1090/s0002-9904-1957-10098-6. MR 0086013.
Lectures on preliminaries to functional analysis. Madras: Institute of Mathematical Sciences. 1963. Notes by B. Ramachandran{{cite book}}: CS1 maint: postscript (link) (50 pages)
^"Marshall Stone - The Mathematics Genealogy Project". www.genealogy.math.ndsu.nodak.edu. Retrieved 2024-01-09.
^Kolata, Gina. "M.H. Stone, Acclaimed Mathematician, Dies at 85". New York Times.
^"Marshall Harvey Stone". American Academy of Arts & Sciences. Retrieved 2023-04-14.
^"Marshall H. Stone". www.nasonline.org. Retrieved 2023-04-14.
^"APS Member History". search.amphilsoc.org. Retrieved 2023-04-14.
^National Science Foundation - The President's National Medal of Science
^Hille, Einar (1934). "Review: Linear transformations in Hilbert space and their applications to analysis, by M. H. Stone". Bull. Amer. Math. Soc. 40 (11): 777–780. doi:10.1090/s0002-9904-1934-05973-1.