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- William B. Johnson

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
38
Citations
8,074
148
World Ranking
1540
National Ranking
685

2013 - Fellow of the American Mathematical Society

- 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.

- 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)

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.

- Pure mathematics (48.74%)
- Banach space (49.75%)
- Discrete mathematics (43.72%)

- Pure mathematics (48.74%)
- Banach space (49.75%)
- Discrete mathematics (43.72%)

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.

- 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)

- 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.

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.

Extensions of Lipschitz mappings into a Hilbert space

W. B. Johnson.

Contemp. Math. **(1984)**

1118 Citations

Extensions of Lipschitz mappings into a Hilbert space

W. B. Johnson.

Contemp. Math. **(1984)**

1118 Citations

Handbook of the Geometry of Banach spaces

W. B. Johnson;Joram Lindenstrauss.

**(2001)**

829 Citations

Handbook of the Geometry of Banach spaces

W. B. Johnson;Joram Lindenstrauss.

**(2001)**

829 Citations

Factoring weakly compact operators

W.J Davis;W.J Davis;T Figiel;T Figiel;W.B Johnson;W.B Johnson;A Pelczynski;A Pelczynski.

Journal of Functional Analysis **(1974)**

577 Citations

Factoring weakly compact operators

W.J Davis;W.J Davis;T Figiel;T Figiel;W.B Johnson;W.B Johnson;A Pelczynski;A Pelczynski.

Journal of Functional Analysis **(1974)**

577 Citations

On bases, finite dimensional decompositions and weaker structures in Banach spaces

W. B. Johnson;W. B. Johnson;H. P. Rosenthal;H. P. Rosenthal;M. Zippin;M. Zippin.

Israel Journal of Mathematics **(1971)**

368 Citations

On bases, finite dimensional decompositions and weaker structures in Banach spaces

W. B. Johnson;W. B. Johnson;H. P. Rosenthal;H. P. Rosenthal;M. Zippin;M. Zippin.

Israel Journal of Mathematics **(1971)**

368 Citations

Mechanical response of fuel cell membranes subjected to a hygro-thermal cycle

Ahmet Kusoglu;Anette M. Karlsson;Michael H. Santare;Simon Cleghorn.

Journal of Power Sources **(2006)**

336 Citations

Fundamentals of Impedance Spectroscopy

J. Ross Macdonald;William B. Johnson.

**(2005)**

317 Citations

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