Igor Klep

Mathematical Physics · 2006–2016

A researcher in the Science corpus: 8 papers; trusts 7 researchers and is trusted by 10 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 31 citations into it; #3,086 of 8,562 by trust here, #2,200 by citations
• Computational Theory and Mathematics — 27 citations into it; #11,479 of 12,182 by trust here, #8,756 by citations
• Applied Mathematics — 23 citations into it; #2,932 of 7,620 by trust here, #2,955 by citations
• Algebra and Number Theory — 22 citations into it; #1,411 of 2,864 by trust here, #698 by citations
• Numerical Analysis — 18 citations into it; #3,412 of 3,586 by trust here, #3,260 by citations
• Geometry and Topology — 13 citations into it; #6,417 of 7,422 by trust here, #3,547 by citations
• Statistics and Probability — 8 citations into it

Whom Igor Klep trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. D. Voiculescu
2. Gelu Popescu
3. J. William Helton
4. Vern I. Paulsen
5. Jean B. Lasserre
6. Scott McCullough
7. Pablo A. Parrilo

Who trusts Igor Klep overall

1. Dmitry S. Kaliuzhnyi-Verbovetskyi
2. Victor Vinnikov
3. Jim Agler
4. Joseph A. Ball
5. Herbert Stahl
6. Nathanial P. Brown Narutaka Ozawa
7. J. William Helton
8. James Eldred Pascoe
9. John E. McCarthy

Papers from Igor Klep's perspective

Ordered by how strongly the researchers Igor Klep trusts endorse each paper. Same corpus, a different order for every researcher.

1. Semidefinite Optimization and Convex Algebraic Geometry
2. The convex Positivstellensatz in a free algebra
3. Geometric Functional Analysis and Its Applications
4. The moment problem for non-compact semialgebraic sets
5. Real Operator Algebras
6. POSITIVE POLYNOMIALS IN SCALAR AND MATRIX VARIABLES, THE SPECTRAL THEOREM AND OPTIMIZATION
7. Free analysis questions I: duality transform for the coalgebra of ∂X:B
8. Completely Bounded Maps and Operator Algebras: Contents
9. Global Optimization with Polynomials and the Problem of Moments (SIAM Journal on Optimization)
10. Spherical contractions and interpolation problems on the unit ball

Their papers

• The convex Positivstellensatz in a free algebra (2011) — 62 citations
• Sums of Hermitian Squares and the BMV Conjecture (2007) — 57 citations
• Optimization of Polynomials in Non-Commuting Variables (2016) — 67 citations
• The Tracial Hahn-Banach Theorem, Polar Duals, Matrix Convex Sets, and Projections of Free Spectrahedra (2014) — 48 citations
• Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions (2014) — 63 citations
• Proper analytic free maps (2010) — 79 citations
• Analytic mappings between noncommutative pencil balls (2009) — 62 citations
• Connes' embedding conjecture and sums of hermitian squares (2006) — 100 citations