Results 11 to 20 of about 1,777 (237)
Factorization of symplectic matrices into elementary factors
Proceedings of the American Mathematical Society, 2020 We prove that a symplectic matrix with entries in a ring with Bass stable rank one can be factored as a product of elementary symplectic matrices. This also holds for null-homotopic symplectic matrices with entries in a Banach algebra or in the ring of complex valued continuous functions on a finite dimensional normal topological space.
Kutzschebauch, Frank +3 more
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Unconditionality in tensor products and ideals of polynomials, multilinear forms and operators [PDF]
, 2010 We study tensor norms that destroy unconditionality in the following sense: for every Banach space $E$ with unconditional basis, the $n$-fold tensor product of $E$ (with the corresponding tensor norm) does not have unconditional basis.
Carando, Daniel, Galicer, Daniel
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Factorizations of $k$-nonnegative matrices
Journal of Combinatorics, 2022 A matrix is $k$-nonnegative if all its minors of size $k$ or less are nonnegative. We give a parametrized set of generators and relations for the semigroup of $k$-nonnegative $n\times n$ invertible matrices in two special cases: when $k = n-1$ and when $k = n-2$, restricted to unitriangular matrices.
Chepuri, Sunita +3 more
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Erratum to “Lower Bounds for Some Factorable Matrices”
International Journal of Mathematics and Mathematical Sciences, 2007 The purpose of this erratum is to correct both the mathematical and typographical errors made in 2006.
B. E. Rhoades, Pali Sen
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Diffusion Effects on the Breakdown of a Linear Amplifier Model Driven by the Square of a Gaussian Field [PDF]
, 2000 We investigate solutions to the equation $\partial_t{\cal E} - {\cal D}\Delta {\cal E} = \lambda S^2{\cal E}$, where $S(x,t)$ is a Gaussian stochastic field with covariance $C(x-x',t,t')$, and $x\in {\mathbb R}^d$. It is shown that the coupling $\lambda_{
Asselah, A. +3 more
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Classical interventions in quantum systems. I. The measuring process [PDF]
, 2000 The measuring process is an external intervention in the dynamics of a quantum system. It involves a unitary interaction of that system with a measuring apparatus, a further interaction of both with an unknown environment causing decoherence, and then ...
A. Peres +42 more
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Collective tests for quantum nonlocality [PDF]
, 1996 Pairs of spin-1/2 particles are prepared in a Werner state (namely, a mixture of singlet and random components). If the random component is large enough, the statistical results of spin measurements that may be performed on each pair separately can be ...
A. Barenco +24 more
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Factorization of matrices into partial isometries [PDF]
Proceedings of the American Mathematical Society, 1989 In this paper, we characterize complex square matrices which are expressible as products of partial isometries and orthogonal projections. More precisely, we show that a matrix T T is the product of k k partial isometries ( k ≥ 1 ) (k \geq 1) if and only if
Kuo, Kunghwang, Wu, Peiyuan
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Classical and quantum stability of higher-derivative dynamics [PDF]
, 2014 We observe that a wide class of higher-derivative systems admits a bounded integral of motion that ensures the classical stability of dynamics, while the canonical energy is unbounded.
Kaparulin, D. S. +2 more
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Some operator ideals in non-commutative functional analysis
, 1997 We characterize classes of linear maps between operator spaces $E$, $F$ which factorize through maps arising in a natural manner via the Pisier vector-valued non-commutative $L^p$ spaces $S_p[E^*]$ based on the Schatten classes on the separable Hilbert ...
Fidaleo, Francesco
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