D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 36 Citations 7,359 130 World Ranking 1385 National Ranking 54

Overview

What is he best known for?

The fields of study he is best known for:

  • Algebra
  • Vector space
  • Pure mathematics

His primary areas of study are Discrete mathematics, Algebra, Combinatorics, Compact operator and Pure mathematics. His Discrete mathematics research is multidisciplinary, incorporating elements of Reconstruction error and Hadamard matrix. The various areas that Vern I. Paulsen examines in his Compact operator study include Finite-rank operator and Bounded operator.

His Finite-rank operator research integrates issues from Shift operator and Semi-elliptic operator. His work carried out in the field of Bounded operator brings together such families of science as Operator space and Geometry. His Pure mathematics research is multidisciplinary, relying on both Cauchy–Schwarz inequality, Mathematical analysis and Rearrangement inequality, Log sum inequality.

His most cited work include:

  • Completely Bounded Maps and Operator Algebras (1161 citations)
  • Completely bounded maps and dilations (505 citations)
  • Optimal frames for erasures (303 citations)

What are the main themes of his work throughout his whole career to date?

The scientist’s investigation covers issues in Pure mathematics, Discrete mathematics, Combinatorics, Algebra and Tensor product. His work on Bounded function expands to the thematically related Pure mathematics. Vern I. Paulsen has researched Discrete mathematics in several fields, including Quantum and Compact operator.

His studies in Compact operator integrate themes in fields like Unitary operator and Bounded operator. His Tensor product research incorporates elements of Operator system and Quantum entanglement. In Finite-rank operator, he works on issues like Shift operator, which are connected to Semi-elliptic operator.

He most often published in these fields:

  • Pure mathematics (39.41%)
  • Discrete mathematics (36.95%)
  • Combinatorics (17.24%)

What were the highlights of his more recent work (between 2016-2021)?

  • Discrete mathematics (36.95%)
  • Combinatorics (17.24%)
  • Tensor product (16.26%)

In recent papers he was focusing on the following fields of study:

His primary areas of investigation include Discrete mathematics, Combinatorics, Tensor product, Quantum and Quantum entanglement. Vern I. Paulsen has included themes like Operator system and Quantum probability in his Discrete mathematics study. His work in the fields of Combinatorics, such as Integer and Dimension, overlaps with other areas such as Communication channel.

The subject of his Tensor product research is within the realm of Pure mathematics. His studies deal with areas such as Factorization, Subspace topology and Intersection as well as Pure mathematics. His research investigates the link between Quantum entanglement and topics such as Iterated function that cross with problems in Conjecture, Dense set, Linear map, Separable space and Matrix.

Between 2016 and 2021, his most popular works were:

  • Non-closure of the Set of Quantum Correlations via Graphs (42 citations)
  • Eventually entanglement breaking maps (25 citations)
  • A synchronous game for binary constraint systems (23 citations)

In his most recent research, the most cited papers focused on:

  • Algebra
  • Vector space
  • Pure mathematics

Vern I. Paulsen spends much of his time researching Quantum, Discrete mathematics, Graph, Correlation and Combinatorics. His Quantum research is multidisciplinary, incorporating perspectives in Graph isomorphism, Isomorphism and Automorphism. When carried out as part of a general Discrete mathematics research project, his work on Graph homomorphism is frequently linked to work in Atmospheric measurements, therefore connecting diverse disciplines of study.

His Graph research incorporates themes from Chromatic scale, Operator system and Quantum channel. His study looks at the relationship between Correlation and fields such as Bipartite system, as well as how they intersect with chemical problems. In his study, which falls under the umbrella issue of Combinatorics, Quantum entanglement is strongly linked to Zero.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Completely Bounded Maps and Operator Algebras

Vern I. Paulsen.
(2003)

1818 Citations

Completely bounded maps and dilations

Vern I. Paulsen.
(1987)

782 Citations

Tensor products of operator spaces

David P Blecher;Vern I Paulsen.
Journal of Functional Analysis (1991)

368 Citations

Optimal frames for erasures

Roderick B Holmes;Vern I Paulsen.
Linear Algebra and its Applications (2004)

365 Citations

An Introduction to the Theory of Reproducing Kernel Hilbert Spaces

Vern I. Paulsen;Mrinal Raghupathi.
(2016)

290 Citations

Frames, graphs and erasures

Bernhard G. Bodmann;Vern I. Paulsen.
Linear Algebra and its Applications (2005)

201 Citations

Every Completely Polynomially Bounded Operator Is Similar to a Contraction

Vern I Paulsen.
Journal of Functional Analysis (1984)

185 Citations

Categories of Operator Modules: Morita Equivalence and Projective Modules

David P. Blecher;Paul S. Muhly;Vern I. Paulsen.
(1999)

154 Citations

Schur Products and Matrix Completions

Vern I Paulsen;Stephen C Power;Roger R Smith.
Journal of Functional Analysis (1989)

139 Citations

Multilinear maps and tensor norms on operator systems

V.I Paulsen;R.R Smith.
Journal of Functional Analysis (1987)

133 Citations

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