- In mathematics, the
predual of an
object D is an
object P
whose dual
space is D. For example, the
predual of the
space of
bounded operators is the space...
-
predual; in
other words the von
Neumann algebra,
considered as a
Banach space, is the dual of some
other Banach space called the
predual. The
predual...
- In mathematics,
specifically functional analysis, a trace-class
operator is a
linear operator for
which a
trace may be defined, such that the
trace is...
- B(H), the
space of
bounded operators on a
Hilbert space H. B(H)
admits a
predual B*(H), the
trace class operators on H. The
ultraweak topology is the weak-*...
- to weak. If H is a
Hilbert space, the
Hilbert space B(X) has a (unique)
predual B ( H ) ∗ {\displaystyle B(H)_{*}} ,
consisting of the
trace class operators...
- operators,
their ideals, and
their duality with
compact operators, and
preduality with
bounded operators. The
generalization of this
topic to the study...
-
Normed vector space Unit ball
Banach space Hahn–Banach
theorem Dual
space Predual Weak
topology Reflexive space Polynomially reflexive space Baire category...
-
ultraweak topology which is in turn the weak-*
topology with
respect to the
predual of B ( H ) , {\displaystyle B(H),} the
trace class operators).
Hence bounded...
- C*-algebra
theory Tsirelson's
problem in
quantum information theory The
predual of any (separable) von
Neumann algebra is
finitely representable in the...
- (x^{*}x)^{1/2}} for
positive elements ω {\displaystyle \omega } of the
predual L ∗ ( H ) {\displaystyle L_{*}(H)} that
consists of
trace class operators...
