Victor Vinnikov

Applied Mathematics · 2001–2016

A researcher in the Science corpus: 12 papers; trusts 36 researchers and is trusted by 28 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 55 citations into it; #656 of 7,620 by trust here, #699 by citations
• Mathematical Physics — 43 citations into it; #1,569 of 8,562 by trust here, #951 by citations
• Algebra and Number Theory — 30 citations into it; #1,467 of 2,864 by trust here, #1,227 by citations
• Computational Theory and Mathematics — 29 citations into it; #1,396 of 12,182 by trust here, #2,931 by citations
• Geometry and Topology — 23 citations into it; #4,101 of 7,422 by trust here, #3,959 by citations
• Numerical Analysis — 12 citations into it; #549 of 3,586 by trust here, #800 by citations
• Statistics and Probability — 9 citations into it
• Optimization & Training — 5 citations into it

Whom Victor Vinnikov trusts overall

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

1. J. William Helton
2. Gelu Popescu
3. Jim Agler
4. Tim Netzer
5. Scott McCullough
6. Joseph A. Ball
7. D. Voiculescu
8. John E. McCarthy
9. Vern I. Paulsen
10. Yurii E. Nesterov

Who trusts Victor Vinnikov overall

1. Petter Brand'en
2. Joseph A. Ball
3. Adam W. Marcus
4. Gelu Popescu
5. Jim Agler
6. Daniel Alpay
7. Julius Borcea
8. Guy Salomon
9. Gregory Marx
10. John E. McCarthy

Papers from Victor Vinnikov's perspective

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

1. Interpolation and Commutant Lifting for Multipliers on Reproducing Kernel Hilbert Spaces
2. Free analysis questions I: duality transform for the coalgebra of ∂X:B
3. Spherical contractions and interpolation problems on the unit ball
4. Pick Interpolation and Hilbert Function Spaces
5. NONCOMMUTATIVE CONVEXITY ARISES FROM LINEAR MATRIX INEQUALITIES.
6. Completely Bounded Maps and Operator Algebras: Contents
7. Free holomorphic functions on the unit ball of B(H)n
8. Matrix Inequalities: A Symbolic Procedure to Determine Convexity Automatically (Integral equations and operator theory)
9. Analytic mappings between noncommutative pencil balls
10. A unified algebraic approach to linear control design: Robert E. Skelton, Tetsuya Iwasaki and Karolos M. Grigoriadis; Copyright Taylor & Francis, 1998, ISBN: 0-7484-0592-5 (at - Automatisierungstechnik)

Their papers

• Linear matrix inequality representation of sets (2003) — 415 citations
• Noncommutative reproducing kernel Hilbert spaces (2016) — 66 citations
• NONCOMMUTATIVE CONVEXITY ARISES FROM LINEAR MATRIX INEQUALITIES. (2006) — 136 citations
• Formal Reproducing Kernel Hilbert Spaces: The Commutative and Noncommutative Settings (2003) — 63 citations
• Interpolation and transfer-function realization for the noncommutative Schur-Agler class (2016) — 54 citations
• LMI Representations of Convex Semialgebraic Sets and Determinantal Representations of Algebraic Hypersurfaces: Past, Present, and Future (2012) — 82 citations
• Foundations of Free Noncommutative Function Theory (2012) — 197 citations
• Singularities of rational functions and minimal factorizations: The noncommutative and the commutative setting (2009) — 89 citations
• Classes of tuples of commuting contractions satisfying the multivariable von Neumann inequality (2009) — 53 citations
• Lax-phillips Scattering and Conservative Linear Systems: A Cuntz-algebra Multidimensional Setting (2005) — 78 citations
• Scattering Systems with Several Evolutions and Multidimensional Input/State/Output Systems (2005) — 92 citations
• Interpolation and Commutant Lifting for Multipliers on Reproducing Kernel Hilbert Spaces (2001) — 211 citations