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searching for trace class 12 found (71 total)

Connes embedding problem (1,037 words) [view diff] exact match in snippet view article find links to article

any (separable) von Neumann algebra is finitely representable in the trace class. In January 2020, Ji, Natarajan, Vidick, Wright, and Yuen announced a

Partial trace (2,121 words) [view diff] no match in snippet view article find links to article

mixed state is described by a density matrix ρ, that is a non-negative trace-class operator of trace 1 on the tensor product H A ⊗ H B . {\displaystyle

Werner Müller (mathematician) (359 words) [view diff] exact match in snippet view article

233–305. doi:10.1016/0001-8708(78)90116-0. Muller, Werner (1989). "The trace class conjecture in the theory of automorphic forms". Annals of Mathematics

Mariusz Wodzicki (361 words) [view diff] exact match in snippet view article find links to article

Dykema, Gary Weiss: Unitarily invariant trace extensions beyond the trace class. In: Complex analysis and related topics (Cuernavaca, 1996) Oper. Theory

Calkin correspondence (753 words) [view diff] exact match in snippet view article find links to article

Lp, p ≥ 1, correspond to the lp sequence spaces. In particular, the trace class operators correspond to l1 and the Hilbert-Schmidt operators correspond

Spectral triple (1,959 words) [view diff] exact match in snippet view article find links to article

p-summable. A spectral triple is said to be θ-summable when e−tD2 is of trace class for any t > 0. Let δ(T) denote the commutator of |D| with an operator

Symmetrizable compact operator (1,384 words) [view diff] no match in snippet view article find links to article

\det(I-zK^{2})=\prod _{n=1}^{\infty }(1-z\lambda _{n}^{2}).}} Here tr is the trace on trace-class operators and det is the Fredholm determinant. For symmetrizable Hilbert–Schmidt

Charles Dwight Lahr (541 words) [view diff] exact match in snippet view article find links to article

Journal of Mathematics, 24(2), 216. Johnson, D. L.; Lahr, C. D. The trace class of an arbitrary Hilbert algebra. Comment. Math. Univ. St. Paul. 28 (1980)

Wigner's theorem (4,735 words) [view diff] no match in snippet view article find links to article

states. Theorems by Kadison and Simon apply to the space of mixed states (trace-class positive operators) and use slight different notions of symmetry. Particle

Arthur–Selberg trace formula (2,258 words) [view diff] exact match in snippet view article find links to article

integrable over the diagonal, and the operators R(f) are no longer of trace class. Arthur dealt with these problems by truncating the kernel at cusps in

Hilbert–Carleman determinant (536 words) [view diff] exact match in snippet view article find links to article

Hilbert–Carleman determinant is not multiplicative. If A {\displaystyle A} is a trace class operator, then the Hilbert–Carleman determinant is related to the Fredholm

Oscillator representation (21,527 words) [view diff] no match in snippet view article find links to article

D−1/2 = D1/2 ·D−1 Ψ−1 consists of compact operators, Ψ−s consists of trace-class operators for s > 1 and Ψk carries Hm into Hm–k. T r ψ ( a ) = ∫ a {\displaystyle