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searching for Positive linear functional 9 found (29 total)

alternate case: positive linear functional

M. Riesz extension theorem (1,276 words) [view diff] exact match in snippet view article find links to article

{\displaystyle K} -positive linear functional on F {\displaystyle F} cannot be extended to a K {\displaystyle K} -positive linear functional on E {\displaystyle

Haar measure (5,360 words) [view diff] exact match in snippet view article find links to article

another way of constructing Haar measure as a Radon measure (a positive linear functional on compactly supported continuous functions), which is similar

Trace class (3,135 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \operatorname {Tr} :B_{1}(H)\to \mathbb {C} } is a positive linear functional such that if T {\displaystyle T} is a trace class operator satisfying

Content (measure theory) (2,018 words) [view diff] exact match in snippet view article

always finite but is not a measure can be given as follows. Take a positive linear functional on the bounded sequences that is 0 if the sequence has only a

Locally compact quantum group (1,826 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \omega :A\to \mathbb {C} } is a state (i.e., a positive linear functional of norm 1 {\displaystyle 1} ) on A {\displaystyle A} , then we

Decomposition of spectrum (functional analysis) (3,810 words) [view diff] exact match in snippet view article

h ⟩ {\displaystyle f\rightarrow \langle h,f(T)h\rangle } is a positive linear functional on C(σ(T)). According to the Riesz–Markov–Kakutani representation

Algebra of random variables (3,623 words) [view diff] exact match in snippet view article find links to article

expectation E on an algebra A of random variables is a normalized, positive linear functional. What this means is that E[k] = k where k is a constant; E[X*X]

Distribution (mathematics) (21,600 words) [view diff] exact match in snippet view article

f ) ≥ 0. {\displaystyle T(f)\geq 0.} One may show that every positive linear functional on C c 0 ( U ) {\displaystyle C_{c}^{0}(U)} is necessarily continuous

Spaces of test functions and distributions (18,993 words) [view diff] exact match in snippet view article find links to article

f ) ≥ 0. {\displaystyle T(f)\geq 0.} One may show that every positive linear functional on C c 0 ( U ) {\displaystyle C_{c}^{0}(U)} is necessarily continuous