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Applied Optics, ISSN 1559-128X, 09/2016, Volume 55, Issue 26, pp. 7412 - 7421
We present a new formulation of a family of proximity operators that generalize the projector step for phase retrieval... 
CONVERGENCE | IMAGE | ALGORITHMS | OPTICS | PROJECTIONS | RECONSTRUCTION | Projectors | Operators | Proximity | Algorithms | Mathematical analysis | Phase retrieval | Mathematical models | Gaussian | Physics - Instrumentation and Methods for Astrophysics
Journal Article
Mathematische Nachrichten, ISSN 0025-584X, 09/2016, Volume 289, Issue 13, pp. 1680 - 1691
We introduce a notion of (S+N)‐triangular operators in the Hilbert space using some basic ideas from triangular representation theory... 
Maximal chain of orthogonal projections | 47A15 | 47A46 | invariant subspace | 47A45 | spectral operator | triangular representation | MATHEMATICS | GROWTH-CONDITIONS
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 2005, Volume 49, Issue 2, pp. 365 - 374
Journal Article
Advances in Mathematics, ISSN 0001-8708, 03/2020, Volume 362, p. 106958
We consider a positive and power-bounded linear operator T on Lp over a finite measure space and prove that, if TLp⊆Lq for some q... 
Essential spectral radius | Quasi-compactness of positive operators | Uniform p-integrability | Ultrapower techniques | Convergence of semigroups | Geometry of Banach spaces | MATHEMATICS | SEMIGROUPS | PERIPHERAL SPECTRUM | CONTRACTIVE PROJECTIONS
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 05/2019, Volume 371, Issue 5, pp. 3721 - 3742
A scalar sequence \xi is said to be admissible for a positive operator A if A= \sum \xi _jP_j for some rank-one projections P_j, or, equivalently, if diag... 
DIAGONALS | MATHEMATICS | PYTHAGOREAN THEOREM | FRAMES | MAJORIZATION | Schur-Horn theorem | diagonals of positive operators | Sums of projections | Kadison's carpenter theorem | PROJECTIONS | SUMS
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 2/2019, Volume 291, Issue 1, pp. 591 - 607
...–Toeplitz operator $$T_{\psi }$$ T ψ with symbol $$\psi =K^{-\alpha }$$ ψ = K - α maps from $$L^{p}$$ L p to $$L^{q}$$ L q continuously... 
Pseudoconvex domain of finite type | 32A36 | Berman projection | Schur’s test | Mathematics, general | Mathematics | Primary 47B35 | Secondary 32A25 | Bergman kernel | Bergman–Toeplitz operator | 32T25 | MATHEMATICS | KERNEL | Bergman-Toeplitz operator | Schur's test | DIFFERENTIABILITY
Journal Article
Linear and Multilinear Algebra, ISSN 0308-1087, 11/2019, Volume 67, Issue 11, pp. 2173 - 2190
Let be a Hilbert space, the algebra of bounded linear operators on and a positive operator... 
oblique projections | Shorted operators | minus order | MATHEMATICS | STAR | AXB | GENERALIZED INVERSES | RANGE | Operators (mathematics) | Hilbert space | Mathematical analysis | Linear operators | Infimum
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 11/2019, Volume 581, pp. 214 - 246
Given a bounded selfadjoint operator W on a Krein space H and a closed subspace S of H, the Schur complement of W to S is defined under the hypothesis of weak complementability... 
Schur complements | Oblique projections | Krein spaces | MATHEMATICS | MATHEMATICS, APPLIED | FACTORIZATION | Operators | Complement
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 02/2017, Volume 515, pp. 226 - 245
Given two subsets A and B of the algebra of bounded linear operators on a Hilbert space H we denote by AB:={AB:A∈A,B∈B... 
Partial isometries | Projections | Factorizations | Polar decomposition | MATHEMATICS | MATHEMATICS, APPLIED | PRODUCTS | MATRICES | POSITIVE OPERATORS | HILBERT-SPACE | Algebra
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 09/2016, Volume 49, Issue 42, p. 425301
The not necessarily unitary evolution operator of a finite dimensional quantum system is studied with the help of a projection operators technique... 
perturbation expansion | projection operators | evolution operator | EQUATIONS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Physics - Quantum Physics
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... 
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
Linear Algebra and Its Applications, ISSN 0024-3795, 10/2018, Volume 555, pp. 70 - 83
Let H be a Hilbert space and L(H) be the algebra of all bounded linear operators from H to H... 
Factorization of operators | Orthogonal projections | Self-adjoint operators | MATHEMATICS | EQUATIONS | MATHEMATICS, APPLIED
Journal Article
Journal of Optimization Theory and Applications, ISSN 0022-3239, 6/2016, Volume 169, Issue 3, pp. 1042 - 1068
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2015, Volume 421, Issue 1, pp. 1 - 20
We introduce regularity notions for averaged nonexpansive operators. Combined with regularity notions of their fixed point sets, we obtain linear and strong convergence results for quasicyclic, cyclic, and random iterations... 
Douglas–Rachford algorithm | Averaged nonexpansive mapping | Projection | Nonexpansive operator | Convex feasibility problem | Bounded linear regularity | Douglas-Rachford algorithm | MATHEMATICS | MATHEMATICS, APPLIED | REGULARITY | PROJECTIONS | Analysis | Algorithms
Journal Article
Filomat, ISSN 0354-5180, 2017, Volume 31, Issue 14, pp. 4579 - 4585
A bounded operator Ton a finite or infinite-dimensional Hilbert space is called a disjoint range (DR) operator if R(T) boolean AND R(T*) = {0... 
Moore-penrose inverse | CoR operators | MATHEMATICS | MATHEMATICS, APPLIED | PRODUCTS | ORTHOGONAL PROJECTIONS | HILBERT-SPACE | Moore-Penrose inverse
Journal Article