- In mathematics,
especially group theory, the
centralizer (also
called commutant) of a
subset S in a
group G is the set C G ( S ) {\displaystyle \operatorname...
- theory, the
commutant lifting theorem, due to Sz.-Nagy and Foias, is a
powerful theorem used to
prove several interpolation results. The
commutant lifting...
-
group representations,
ergodic theory and
quantum mechanics. His
double commutant theorem shows that the
analytic definition is
equivalent to a
purely algebraic...
- {\displaystyle A} that
commute with
matrix B {\displaystyle B} are
called the
commutant of
matrix B {\displaystyle B} (and vice versa). A set of
matrices A 1...
- In
abstract algebra, a
commutant-****ociative
algebra is a non****ociative
algebra over a
field whose multiplication satisfies the
following axiom: ( [...
- O^{*}y\rangle -\langle TOx,y\rangle } Let S be any
subset of L(H), and S′ its
commutant. For any
operator T in S′, this
function is zero for all O in S. For any...
-
actually a norm. If Ω is
cyclic for A, then it is
separating for the
commutant A′ of A in B(H),
which is the von
Neumann algebra consisting of all bounded...
- In the
branch of
abstract algebra called ring theory, the
double centralizer theorem can
refer to any one of
several similar results.
These results concern...
-
algebra or a group) is the
commutant of the
commutant of that subset. It is also
known as the
double commutant or
second commutant and is
written S ′ ′ {\displaystyle...
- mathematics, a
commutation theorem for
traces explicitly identifies the
commutant of a
specific von
Neumann algebra acting on a
Hilbert space in the presence...
