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.
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.
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.
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.
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Completely Bounded Maps and Operator Algebras
Vern I. Paulsen.
Completely bounded maps and dilations
Vern I. Paulsen.
Tensor products of operator spaces
David P Blecher;Vern I Paulsen.
Journal of Functional Analysis (1991)
Optimal frames for erasures
Roderick B Holmes;Vern I Paulsen.
Linear Algebra and its Applications (2004)
An Introduction to the Theory of Reproducing Kernel Hilbert Spaces
Vern I. Paulsen;Mrinal Raghupathi.
Frames, graphs and erasures
Bernhard G. Bodmann;Vern I. Paulsen.
Linear Algebra and its Applications (2005)
Every Completely Polynomially Bounded Operator Is Similar to a Contraction
Vern I Paulsen.
Journal of Functional Analysis (1984)
Categories of Operator Modules: Morita Equivalence and Projective Modules
David P. Blecher;Paul S. Muhly;Vern I. Paulsen.
Schur Products and Matrix Completions
Vern I Paulsen;Stephen C Power;Roger R Smith.
Journal of Functional Analysis (1989)
Multilinear maps and tensor norms on operator systems
V.I Paulsen;R.R Smith.
Journal of Functional Analysis (1987)
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