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Applied and Computational Harmonic Analysis, ISSN 1063-5203, 03/2017, Volume 42, Issue 2, pp. 350 - 359
We characterize collections of orthogonal projections for which it is possible to reconstruct a vector from the magnitudes of the corresponding projections. As... 
Orthogonal projections | Phase retrieval | Algebraic geometry | MATHEMATICS, APPLIED | INJECTIVITY | SIGNAL RECONSTRUCTION | PHYSICS, MATHEMATICAL
Journal Article
IEEE Transactions on Control Systems Technology, ISSN 1063-6536, 07/2016, Volume 24, Issue 4, pp. 1480 - 1487
Journal Article
Annals of Statistics, ISSN 0090-5364, 02/2019, Volume 47, Issue 1, pp. 641 - 661
Efficient designs are in high demand in practice for both computer and physical experiments. Existing designs (such as maximin distance designs and uniform... 
Latin hypercube design | Computer experiment | Discrepancy | Maximin distance design | Space-filling design | Uniform design | CONNECTION | uniform design | maximin distance design | discrepancy | STRONG ORTHOGONAL ARRAYS | space-filling design | STATISTICS & PROBABILITY | LATIN HYPERCUBES
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2019, Volume 478, Issue 2, pp. 539 - 559
Let be an anti-selfadjoint operator on a Hilbert space with . We give a sufficient and necessary condition for to be a commutator of a pair of orthogonal... 
Commutators | Pairs of orthogonal projections | Anti-selfadjoint operator | MATHEMATICS | MATHEMATICS, APPLIED | PAIRS
Journal Article
GEOSCIENTIFIC MODEL DEVELOPMENT, ISSN 1991-959X, 2013, Volume 6, Issue 2, pp. 389 - 415
Journal Article
by Cui, MM and Ji, GX
STUDIA MATHEMATICA, ISSN 0039-3223, 2019, Volume 249, Issue 2, pp. 117 - 141
Let T be a self-adjoint operator on a complex Hilbert space H. In this paper, a sufficient and necessary condition for T to be (the value of) the pencil lambda... 
self-adjoint operator | MATHEMATICS | DIFFERENCE | pair of projections | von Neumann algebra | ORTHOGONAL PROJECTIONS | pencil | FREDHOLM
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 07/2014, Volume 267, Issue 2, pp. 384 - 404
In this paper, we consider the problem of characterizing Hilbert space operators which are expressible as a sum of (finitely many) orthogonal projections. We... 
Orthogonal projection | Trace | Rank | Essential norm | MATHEMATICS | MATRIX | OPERATORS
Journal Article
International Journal for Numerical Methods in Engineering, ISSN 0029-5981, 07/2012, Volume 91, Issue 4, pp. 358 - 377
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 09/2019, Volume 577, pp. 134 - 158
Halmos' two projections theorem for Hilbert space operators is one of the fundamental results in operator theory. In this paper, we introduce the term of two... 
Hilbert [formula omitted]-module | Orthogonal complement | Halmos' two projections theorem | Friedrichs angle | MATHEMATICS | MATHEMATICS, APPLIED | Hilbert C-module | ADJOINTABLE OPERATORS | Operators | Theorems | Hilbert space | Modules
Journal Article
Neurocomputing, ISSN 0925-2312, 02/2016, Volume 179, pp. 54 - 68
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 10/2018, Volume 555, pp. 70 - 83
Let be a Hilbert space and be the algebra of all bounded linear operators from to . Our goal in this article is to study the set of operators in that can be... 
Factorization of operators | Orthogonal projections | Self-adjoint operators | MATHEMATICS | EQUATIONS | MATHEMATICS, APPLIED
Journal Article
Mobile Networks and Applications, ISSN 1383-469X, 11/2016, Volume 22, Issue 3, pp. 1 - 6
Journal Article