Weiss, Matrix norm inequalities and the relative Dixmier property, Integral Equations Operator Theory 11 (1988), no. 1, 28-48.BHKW88] K. Berman, H. Halpern, V. Kaftal, and G. Weiss. Matrix norm inequalities and the relative Dixmier property. Integral Equations Operator Theory, 11(1):28...
Wolfram Community forum discussion about A matrix with curious property: near-equality of trace and squared Frobenius norm. Stay on top of important topics and build connections by joining Wolfram Community groups relevant to your interests.
We derive the $l_{\infty}$ convergence rate simultaneously for Lasso and Dantzig estimators in a high-dimensional linear regression model under a mutual coherence assumption on the Gram matrix of the design and two different assumptions on the noise: Gaussian noise and general noise with finite ...
It is proved that a Kthe sequence space is weakly orthogonal if and only if it is order continuous. Criteria for weak property ( β ) in Orlicz sequence spaces in the case of the Luxemburg norm as well as the Orlicz norm are given.关键词: Köthe sequence space Orlicz sequence space ...
Basic properties of matricially normed spaces are considered, and a simple matrix norm characterization of the subspaces of C∗-algebras is given. The la... ZJ Ruan - 《Journal of Functional Analysis》 被引量: 153发表: 1988年 Operators Factorizable through Lp-spaces between Banach spaces be...
We loosely say that matrix X obeys the RIP of order k if δk is not too close to one. When this property holds true, it implies that the Euclidean norm of θ is approximately preserved after projecting it onto the rows of X. Obviously, if matrix X was orthonormal, we would have δ...
The mechanical properties of cortical bone are heavily dependent on porosity and the degree of matrix mineralization (Currey, 1988, 1990; Martin and Ishida, 1989; Schaffler and Burr, 1988). More than 80% of the variation in the elastic modulus of cortical bone can be explained by a power-la...
2.1.1803 Part 4 Section 7.1.2.9, baseJc (Matrix Base Justification) 2.1.1804 Part 4 Section 7.1.2.11, borderBox (Border-Box Function) 2.1.1805 Part 4 Section 7.1.2.13, box (Box Function) 2.1.1806 Part 4 Section 7.1.2.15, brk (Break) 2.1.1807 Part 4 Section 7.1.2.16, brkB...
Further we obtain that if a Banach space X has the property (C- Ⅲ ) (resp.(C- Ⅱ ) ) then for any norming set A of X, the σ(X, A) topology and the weak topology (resp.norm topology) coincide on the unit sphere of X and X is nearly very rotund (resp. nealystrongly ...
The many variants of the restricted isometry property (RIP) have proven to be crucial theoretical tools in the fields of compressed sensing and matrix completion. The study of extending compressed sensing to accommodate phaseless measurements naturally motivates a strong notion of restricted isometry prop...