Frank Bonsall
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British mathematician
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Frank Bonsallmathematics Degrees
Mathematics
#5977
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#8349
Historical Rank
Measure Theory
#2194
World Rank
#2639
Historical Rank

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Mathematics
Why Is Frank Bonsall Influential?
(Suggest an Edit or Addition)According to Wikipedia, Frank Featherstone Bonsall FRS was a British mathematician. Personal life Bonsall was born on 31 March 1920, the youngest son of Wilfred C Bonsall and Sarah Frank. His older brother was Arthur Bonsall. He married Gillian Patrick, a Somerville graduate, in 1947. Bonsall and his wife were keen hill-walkers. He wrote two articles for The Scottish Mountaineering Club on the definition of a Munro. After his retirement, Bonsall and his wife moved to Harrogate.
Frank Bonsall's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Complete Normed Algebras (1973) (1476)
- Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras (1971) (586)
- Numerical Ranges II (1973) (444)
- Lectures on some fixed point theorems of functional analysis (1962) (120)
- Linear Operators in Complete Positive Cones (1958) (97)
- Sublinear Functionals and Ideals in Partially Ordered Vector Spaces (1954) (45)
- INQUALITIES WITH NON-CONJUGATE PARAMETERS (1951) (43)
- Boundedness of Hankel Matrices (1984) (42)
- THE CHARACTERIZATION OF GENERALIZED CONVEX FUNCTIONS (1950) (38)
- Zeros of self-inversive polynomials (1952) (33)
- A GENERAL ATOMIC DECOMPOSITION THEOREM AND BANACH'S CLOSED RANGE THEOREM (1991) (32)
- A Minimal Property of the Norm in Some Banach Algebras (1954) (29)
- Semi-Algebras of Continuous Functions (1960) (28)
- DECOMPOSITIONS OF FUNCTIONS AS SUMS OF ELEMENTARY FUNCTIONS (1986) (27)
- Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras: Operators (1971) (27)
- Extreme Positive Operators on Algebras of Functions. (1966) (25)
- Endomorphisms of a Partially Ordered Vector Space Without Order Unit (1955) (25)
- Endomorphisms of Partially Ordered Vector Spaces (1955) (23)
- Domination of the supremum of a bounded harmonic function by its supremum over a countable subset (1987) (22)
- Positive operators compact in an auxiliary topology (1960) (21)
- The Spectral Radius of a Hermitian Element of a Banach Algebra (1970) (20)
- Hankel Operators on the Bergman Space for the Disc (1986) (19)
- Normal Body Temperatures in N. India (1946) (18)
- The numerical range of an element of a normed algebra (1969) (17)
- Vanishing l1-sums of the Poisson kernel, and sums with positive coefficients (1989) (16)
- The numerical range of a continuous mapping of a normed space (1968) (15)
- On the Representation of Points of a Convex Set (1963) (15)
- The Semi-Algebra Generated by a Compact Linear Operator (1965) (15)
- A proof of Hartman's theorem on compact Hankel operators (1975) (14)
- Symbols for trace class Hankel operators with good estimates for norms (1986) (12)
- A Down-To-Earth View of Mathematics. (1982) (11)
- Dual representations of Banach algebras (1967) (11)
- Dual Extremum Problems in the Theory of Functions (1956) (11)
- Regular Ideals of Partially Ordered Vector Spaces (1956) (11)
- Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras: Some recent developments (1971) (10)
- AN INTRODUCTION TO HANKEL OPERATORS (London Mathematical Society Student Texts 13) (1990) (10)
- Extreme maximal ideals of a partially ordered vector space (1956) (9)
- DUALLY IRREDUCIBLE REPRESENTATIONS OF BANACH ALGEBRAS (1968) (9)
- INDEFINITELY ISOMETRIC LINEAR OPERATORS IN A REFLEXIVE BANACH SPACE (1955) (8)
- Critical points of rational functions with self-inversive polynomial factors (1954) (8)
- Locally Compact Semi-Algebras (1963) (8)
- QUADRATIC WEIGHTED GEOMETRIC MEAN IN HERMITIAN UNITAL BANACH ∗–ALGEBRAS (2018) (8)
- Algebras which represent their linear functionals (1953) (8)
- Square roots in Banach *-algebras (1972) (7)
- Type 2 Semi‐Algebras of Continuous Functions (2000) (7)
- Jordan algebras spanned by Hermitian elements of a Banach algebra (1977) (6)
- Locally Multiplicative Wedges in Banach Algebras (1975) (6)
- Operators That Act Compactly on an Algebra of Operators (1969) (6)
- Compact linear operators from an algebraic standpoint (1967) (6)
- Conditions for Boundedness of Hankel Matrices (1994) (5)
- An Inclusion Theorem for the Matrix and Essential Ranges of Operators (1973) (5)
- Stability theorems for cones and wedges of continuous functions (1969) (5)
- Certain Jordan operator algebras and double commutant theorems (1976) (5)
- Some dual aspects of the Poisson kernel (1990) (5)
- Some Nuclear Hankel Operators (1986) (4)
- Jordan Subalgebras of Banach algebras (1978) (4)
- Observations on normal body temperatures in North India. (1946) (4)
- ALGEBRAIC PROPERTIES OF SOME CONVEX CONES OF FUNCTIONS (1963) (4)
- A Note on Subadditive Functionals (1954) (3)
- Maximal Subalgebras of Banach (*)-Algebras (1965) (3)
- POSITIVE SOLUTIONS OF OPERATOR EQUATIONS (1966) (3)
- SOME PROPERTIES OF PSEUDONORMABLE SEMILINEAR SPACES (2008) (3)
- Compact Linear Operators (2020) (3)
- Hankel operators with PC symbols and the space H∞ + PC (1981) (3)
- The Iteration of Operators Mapping a Positive Cone Into Itself (1959) (2)
- On the Representation of Cones and Semi-Algebras with Given Generators (1965) (2)
- C. Berge , Topological Spaces , translated by E. M. Patterson (Oliver and Boyd, 1963), xiii+270 pp., 50s. (1963) (2)
- A Formula for the Spectral Family of An Operator (1960) (2)
- SEQUENCES OF QUASI-CONTRACTIONS AND FIXED POINTS (2008) (1)
- Core-preserving transformations of a vector space (1953) (1)
- NOTE ON A THEOREM OF HARDY AND ROGOSINSKI (1949) (1)
- On generalized subharmonic functions (1950) (1)
- Functionals of Finite Riemann Surfaces. By M. Schiffer and D. C. Spencer. Pp. x, 451. 63s. 1954, (Princeton University Press; London: Geoffrey Cumberlege) (1956) (1)
- Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras: Hermitian elements of a complex unital Banach algebra (1971) (1)
- Concepts and Elementary Results (1973) (1)
- A Survey of Banach Algebra Theory (1970) (1)
- Banach algebra elements whose spectra intersect R+ (1974) (1)
- Numerical Ranges II: Spatial numerical ranges (1973) (1)
- J. H. Williamson (editor), Algebra in Analysis (Academic Press, 1975), xi + 312 pp., £10·80, $28.50. (1977) (0)
- Algebra numerical ranges (1973) (0)
- PRM volume 102 issue 1-2 Cover and Front matter (1986) (0)
- PRM volume 100 issue 1-2 Cover and Front matter (1985) (0)
- A polynomial iteration for the spectral family of an operator (1963) (0)
- A New Proof of Garnett's Theorem on Harmonic Interpolation (1990) (0)
- PRM volume 96 issue 1-2 Cover and Front matter (1984) (0)
- PRM volume 100 issue 3-4 Cover and Front matter (1985) (0)
- PRM volume 101 issue 1-2 Cover and Front Matter (1985) (0)
- L. V. Kantorovich, G. P. Akilov Functional Analysis in Normed Spaces , translated from the Russian by D. E. Brown edited by A. P. Robertson (Pergamon Press, 1964), xiii + 771 pp., 140s. (1966) (0)
- S. K. Berberian, Introduction to Hilbert Space (Oxford University Press, 1961), 206 pp., 52s. (1962) (0)
- A FIXED-POINT THEOREM FOR TRANSITION OPERATORS IN AN L-SPACE (1956) (0)
- Numerical range in unital normed algebras (1971) (0)
- Convex semi-lattices of continuous functions (1960) (0)
- PRM volume 104 issue 1-2 Cover and Front matter (1986) (0)
- Numerical Ranges II: Bibliography (1973) (0)
- PRM volume 101 issue 3-4 Cover and Front matter (1985) (0)
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