P. G. Dixon

423 total citations
28 papers, 246 citations indexed

About

P. G. Dixon is a scholar working on Algebra and Number Theory, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, P. G. Dixon has authored 28 papers receiving a total of 246 indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Algebra and Number Theory, 22 papers in Mathematical Physics and 8 papers in Geometry and Topology. Recurrent topics in P. G. Dixon's work include Advanced Topics in Algebra (22 papers), Advanced Banach Space Theory (15 papers) and Advanced Operator Algebra Research (14 papers). P. G. Dixon is often cited by papers focused on Advanced Topics in Algebra (22 papers), Advanced Banach Space Theory (15 papers) and Advanced Operator Algebra Research (14 papers). P. G. Dixon collaborates with scholars based in United Kingdom, Australia and Canada. P. G. Dixon's co-authors include Jean Esterlé, D. H. Fremlin, George A. Willis, R. H. Smallwood and S.W. Drury and has published in prestigious journals such as Journal of Functional Analysis, Bulletin of the London Mathematical Society and Bulletin of the American Mathematical Society.

In The Last Decade

P. G. Dixon

26 papers receiving 212 citations

Peers

Countries citing papers authored by P. G. Dixon

Since Specialization

Citations

This map shows the geographic impact of P. G. Dixon's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by P. G. Dixon with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites P. G. Dixon more than expected).

Fields of papers citing papers by P. G. Dixon

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by P. G. Dixon. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by P. G. Dixon. The network helps show where P. G. Dixon may publish in the future.

Co-authorship network of co-authors of P. G. Dixon

This figure shows the co-authorship network connecting the top 25 collaborators of P. G. Dixon. A scholar is included among the top collaborators of P. G. Dixon based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with P. G. Dixon. P. G. Dixon is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

#	Work	Indexed citations
1	Graded Banach algebras associated with varieties of Banach algebras 2003 ·Mathematical Proceedings of the Cambridge Philosophical Society ·P. G. Dixon	0
2	Non-closed sums of closed ideals in Banach algebras 2000 ·Proceedings of the American Mathematical Society ·P. G. Dixon	7
3	Banach Algebras Satisfying the Non-Unital Von Neumann Inequality 1995 ·Bulletin of the London Mathematical Society ·P. G. Dixon	59
4	Approximate identities in extensions of topologically nilpotent Banach algebras 1992 ·Proceedings of the Royal Society of Edinburgh Section A Mathematics ·P. G. Dixon, George A. Willis	8
5	Unbounded approximate identities in normed algebras 1992 ·Glasgow Mathematical Journal ·P. G. Dixon	7
6	A note on topologically nilpotent Banach algebras 1992 ·Studia Mathematica ·P. G. Dixon	6
7	Topologically nilpotent Banach algebras and factorisation 1991 ·Proceedings of the Royal Society of Edinburgh Section A Mathematics ·P. G. Dixon	6
8	Factorization and unbounded approximate identities in Banach algebras 1990 ·Mathematical Proceedings of the Cambridge Philosophical Society ·P. G. Dixon	7
9	Generalized open mapping theorems for bilinear maps, with an application to operator algebras 1988 ·Proceedings of the American Mathematical Society ·P. G. Dixon	6
10	Left approximate identities in algebras of compact operators on Banach spaces 1986 ·Proceedings of the Royal Society of Edinburgh Section A Mathematics ·P. G. Dixon	14
11	An electronic Doppler signal generator for assessing continuous-wave ultrasonic Doppler flowmeters 1986 ·IEE Proceedings A Physical Science, Measurement and Instrumentation, Management and Education, Reviews ·R. H. Smallwood, P. G. Dixon	1
12	Unitary dilations, polynomial identities and the von Neumann inequality 1986 ·Mathematical Proceedings of the Cambridge Philosophical Society ·P. G. Dixon, S.W. Drury	1
13	Scalar Homomorphisms on Algebras of Infinitely Long Polynomials with an Application to Automatic Continuity Theory 1979 ·Journal of the London Mathematical Society ·P. G. Dixon	4
14	Spectra of approximate identities in Banach algebras 1979 ·Mathematical Proceedings of the Cambridge Philosophical Society ·P. G. Dixon	2
15	Nonseparable Banach algebras whose squares are pathological 1977 ·Journal of Functional Analysis ·P. G. Dixon	3
16	A characterisation of closed subalgebras of 1977 ·Proceedings of the Edinburgh Mathematical Society ·P. G. Dixon	2
17	A lower bound for the L ¹ ‐norm of certain exponential sums 1977 ·Mathematika ·P. G. Dixon	1
18	A Jacobson-semisimple Banach algebra with a dense nil subalgebra 1977 ·Colloquium Mathematicum ·P. G. Dixon	6
19	VARIETIES OF BANACH ALGEBRAS 1976 ·The Quarterly Journal of Mathematics ·P. G. Dixon	13
20	A Remark Concerning Multiplicative Functionals on Lmc Algebras 1972 ·Journal of the London Mathematical Society ·P. G. Dixon, D. H. Fremlin	11

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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