What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Hilbert space
- Banach space
The scientist’s investigation covers issues in Pure mathematics, Discrete mathematics, Banach space, Interpolation space and Algebra over a field.
As part of the same scientific family, William B. Johnson usually focuses on Pure mathematics, concentrating on Mathematical analysis and intersecting with Applied mathematics and Exchangeable random variables.
William B. Johnson interconnects Space and Convergence of random variables in the investigation of issues within Discrete mathematics.
William B. Johnson works in the field of Banach space, focusing on Approximation property in particular.
His Interpolation space research is multidisciplinary, incorporating perspectives in Banach manifold and Lp space.
His Algebra over a field research integrates issues from Basis and Subspace topology.
His most cited work include:
- Extensions of Lipschitz mappings into a Hilbert space (655 citations)
- Handbook of the Geometry of Banach spaces (524 citations)
- Factoring weakly compact operators (366 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of investigation include Pure mathematics, Banach space, Discrete mathematics, Approximation property and Linear subspace.
His work in Pure mathematics is not limited to one particular discipline; it also encompasses Mathematical analysis.
His study explores the link between Banach space and topics such as Subspace topology that cross with problems in Basis and Algebra over a field.
The study incorporates disciplines such as Hilbert space and Combinatorics in addition to Discrete mathematics.
The concepts of his Approximation property study are interwoven with issues in C0-semigroup, Algebra, Schauder basis and Operator space.
His Banach manifold research incorporates elements of Eberlein–Šmulian theorem and Interpolation space.
He most often published in these fields:
- Pure mathematics (48.74%)
- Banach space (49.75%)
- Discrete mathematics (43.72%)
What were the highlights of his more recent work (between 2009-2021)?
- Pure mathematics (48.74%)
- Banach space (49.75%)
- Discrete mathematics (43.72%)
In recent papers he was focusing on the following fields of study:
His primary areas of investigation include Pure mathematics, Banach space, Discrete mathematics, Linear subspace and Bounded function.
His research in Pure mathematics intersects with topics in Interpolation space and Algebra.
William B. Johnson has included themes like Topological tensor product, Banach manifold, Lp space and Finite-rank operator in his Interpolation space study.
His Approximation property study in the realm of Banach space interacts with subjects such as Maximal ideal.
His Discrete mathematics and Nuclear operator and Schauder basis investigations all form part of his Discrete mathematics research activities.
His research integrates issues of N dimensional, Mathematical analysis, Normed vector space, Banach algebra and Injective function in his study of Linear subspace.
Between 2009 and 2021, his most popular works were:
- Constitutive response and mechanical properties of PFSA membranes in liquid water (55 citations)
- Numerical Investigation of Mechanical Durability in Polymer Electrolyte Membrane Fuel Cells (45 citations)
- Some approximation properties of Banach spaces and Banach lattices (34 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Algebra
- Pure mathematics
The scientist’s investigation covers issues in Pure mathematics, Banach space, Linear subspace, Discrete mathematics and Approximation property.
In his study, Ideal and Banach algebra is strongly linked to Compact operator, which falls under the umbrella field of Pure mathematics.
His Banach space study incorporates themes from Analytic function, Interpolation space and Bounded function.
His Linear subspace study combines topics from a wide range of disciplines, such as Space, Johnson–Lindenstrauss lemma, Lemma, Distortion and Normed vector space.
His Discrete mathematics research includes elements of Subspace topology, Besov space, Dimension, Combinatorics and Hilbert space.
His Approximation property study combines topics in areas such as N dimensional, Isomorphism, Banach manifold and Sobolev space.
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