In mathematics, Fuglede's theorem is a result in operator theory, named after Bent Fuglede. Theorem (Fuglede) Let T and N be bounded operators on a complex...

theorem (von Neumann algebra) Fuglede's theorem (functional analysis) Gelfand–Mazur theorem (Banach algebra) Gelfand–Naimark theorem (functional analysis) Hardy–Littlewood...

operator Fuglede's theorem Compression (functional analysis) Friedrichs extension Stone's theorem on one-parameter unitary groups Stone–von Neumann theorem Functional...

commute is again normal; this is nontrivial, but follows directly from Fuglede's theorem, which states (in a form generalized by Putnam): If N 1 {\displaystyle...

particular functional analysis, where he proved Fuglede's theorem and stated Fuglede's conjecture. Fuglede graduated from Skt. Jørgens Gymnasium 1943 and...

than the limit have an even number of prime factors. Erdős conjectures Fuglede's conjecture Millennium Prize Problems Painlevé conjecture Mathematical...

multiplication theorem.[clarification needed] The next contributor of importance is Binet (1811, 1812), who formally stated the theorem relating to the...

together they proved the Green–Tao theorem, which is well known among both amateur and professional mathematicians. This theorem states that there are arbitrarily...

open unit disk, on certain subsets of C {\displaystyle \mathbb {C} } Fuglede's conjecture on whether nonconvex sets in R {\displaystyle \mathbb {R} }...

romance novels Zak Kadison, American film producer Fuglede-Kadison determinant Kadison transitivity theorem Kadison-Kastler metric Kadison-Singer problem Kaplansky-Kadison...

honor (Børge Jessen Diploma Award). Jessen's icosahedron Jessen–Wintner theorem Andersen, Erik Sparre (1993). "Børge Jessen: 19. juni 1907 - 20. marts...

1321358111. PMC 3926033. PMID 24469831. Kadison, R. V. (2002). "The Pythagorean Theorem: II. The infinite discrete case". Proc Natl Acad Sci U S A. 99 (8): 5217–22...

_{n})} under the prior distribution π {\displaystyle \pi } (see Holevo's theorem). Quantum Jensen–Shannon divergence for π = ( 1 2 , 1 2 ) {\displaystyle...

concept of direct sum in mathematics Brown, Lawrence (1986), "Lidskii's theorem in the type I I {\displaystyle II} case", Pitman Res. Notes Math. Ser....

University of Copenhagen under the joint supervision of Werner Fenchel and Bent Fuglede. He is known for Jørgensen's inequality, and for his discovery of a hyperbolic...

curves. A classical result motivating this study is the Narasimhan–Seshadri theorem, a cornerstone of the Simpson correspondence. It asserts that a vector...