We assume that the dimension of V is ≥4 9-semiproducts f on V where 9 is an involutory anti-automorphism on D. (Birkhoff-von Neumann Theorem 5)…Measures and Hilbert Latticesdoi:10.1142/9789814503105_0009G. KalmbachUniversität Ulm, Germany
We are now ready to prove the main theorem. Theorem 2.6 Let Φ:B(H)→B(H) be a surjective linear mapping. Then Φ preserves the strong Birkhoff–James orthogonality in both directions if and only if there are unitary operators U,V∈B(H) and c∈C∖{0} such thatΦ(X)=cUXV(X∈...
第二年,伯克霍夫就在《庞加莱几何定理的证明》中证明了这个定理,成为轰动一时的事件。伯克霍夫还推进了冯.诺伊曼(Von Neumann)提出的弱形式的遍历定理(Ergodic Theorem),得到强形式的遍历定理,后者在近代分析中有更广泛的应用,例如它把气体分子运动论中麦克斯韦─玻尔兹曼(Maxwell-Boltzmann)遍历假设(Ergodic ...
Correction: Birkhoff-von Neumann quantum logic enriched with entanglement quantifiers: coincidence theorem and semantic consequence No abstract available. S Zhong - 《Acta Informatica》 被引量: 0发表: 2025年 Birkhoff-von Neumann Quantum Logic as an Assertion Language for Quantum Programs A first-order...
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2) Birkhoff theorem Birkhoff定理 1. Deals with extending Birkhoff theorem to multidimensional space and time containing cosmic termA,based on the theorem s application of the four-dimensional space and time. 因Birkhoff定理是对不含宇宙项A的四维时空成立,本文将该定理推广到合宇宙项A的高维时空。3)...
Bilkhoff eigodic theorem Bi浅h甫遍历定理[Bi血h成e吧诚c the峨m;血p以,峥a邓门口的.。旧T.娜限Ma】 遍历理论(erg曲c theory)中最重要定理之一关于具有。有限测度拜的空间X上的自同态T,Birkhoff的遍历定理是指,对于任意函数f任L,(x,群),极限 lrm生咬,了(:*二、一云二、 n神的n人二万(时卿于扫...
The theorem of Birkhoff-von Neumann (see [2]) on the decomposition of bistochastic matrices (i.e., matrix with nonnegative entries and all row sums and column sums equal to one) has found various applications in scheduling; it is in particular a basic tool in the two-phase method of ...
We extrapolate this analogy to define a generalization of doubly stochastic matrices that we call doubly normalized tensors (DNTs), and investigate a corresponding version of Birkhoffvon Neumann's theorem, which states that permutations are the extremal points of the set of doubly stochastic matrices...
Particularly, we prove that each permutation tensor is an extreme point of the set of doubly stochastic tensors, and the Birkhoff-von Neumann theorem holds for doubly stochastic tensors. Furthermore, an algorithm is proposed to find a convex combination of permutation tensors for any doubly ...