Fuglede's conjecture is an open problem in mathematics proposed by Bent Fuglede in 1974. It states that every domain of R d {\displaystyle \mathbb {R}...

However, such results remain (as of 2024) conjectural. Bent Fuglede introduced the Fuglede conjecture in the 1970s, positing a tile-based characterisation of...

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

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

even number of prime factors. Erdős conjectures Fuglede's conjecture Millennium Prize Problems Painlevé conjecture Mathematical fallacy Superseded theories...

topology ultraweak topology Singular value (or S-number) Fredholm operator Fuglede's theorem Compression (functional analysis) Friedrichs extension Stone's...

Beilinson's conjecture, the pole orders and the values of L(hn(X), s) at integers s. Bloch and Beilinson proved essential parts of this conjecture for h1(X)...

producer Fuglede-Kadison determinant Kadison transitivity theorem Kadison-Kastler metric Kadison-Singer problem Kaplansky-Kadison conjecture This page...

positive maps (operator theory) Commutation theorem (von Neumann algebra) Fuglede's theorem (functional analysis) Gelfand–Mazur theorem (Banach algebra) Gelfand–Naimark...

419. PMC 1063576. PMID 16589115. with Bent Fuglede: Fuglede, B.; Kadison, R. V. (1951). "On a Conjecture of Murray and von Neumann". Proc Natl Acad Sci...

which were one of the inspirations for William Thurston's Geometrisation Conjecture. He is also credited with being one of the co-discoverers of the ordered...

Cayley–Menger determinant Dieudonné determinant Slater determinant Determinantal conjecture Lang 1985, §VII.1 "Determinants and Volumes". textbooks.math.gatech.edu...