- 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...
- Bent
Fuglede (8
October 1925 – 7
December 2023) was a
Danish mathematician.
Fuglede was
known for his
contributions to
mathematical analysis, in particular...
- Mads
Fuglede (born 23
August 1971) is a
Danish politician, who is a
member of the
Folketing for the
Denmark Democrats.
Fuglede first ran for parliament...
-
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}...
- In mathematics, the
Fuglede−Kadison
determinant of an
invertible operator in a
finite factor is a
positive real
number ****ociated with it. It defines...
- However, such
results remain (as of 2024) conjectural. Bent
Fuglede introduced the
Fuglede conjecture in the 1970s,
positing a tile-based characterisation...
-
finite factor, one may
define a
positive real-valued
determinant called the
Fuglede−Kadison
determinant using the
canonical trace. In fact,
corresponding to...
- open unit disk, on
certain subsets of C {\displaystyle \mathbb {C} }
Fuglede's conjecture on
whether nonconvex sets in R {\displaystyle \mathbb {R} }...
- doi:10.1073/pnas.38.5.419. PMC 1063576. PMID 16589115. with Bent
Fuglede:
Fuglede, B.; Kadison, R. V. (1951). "On a
Conjecture of
Murray and von Neumann"...
- Statist. Math. 55 (3): 639–653. doi:10.1007/BF02517812. S2CID 13085920.
Fuglede, B.; Topsoe, F. (2004). "Jensen-Shannon
divergence and
Hilbert space embedding"...