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Bonsall, Frank Featherstone

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Author ID: bonsall.f-f Recent zbMATH articles by "Bonsall, Frank Featherstone"
Published as: Bonsall, F. F.
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Documents Indexed: 75 Publications since 1949, including 3 Books

Publications by Year

Citations contained in zbMATH Open

57 Publications have been cited 1,365 times in 1,176 Documents Cited by Year
Complete normed algebras. Zbl 0271.46039
Bonsall, F. F.; Duncan, J.
499
1973
Numerical ranges of operators on normed spaces and of elements of normed algebras. Zbl 0207.44802
Bonsall, F. F.; Duncan, J.
300
1971
Numerical ranges II. Zbl 0262.47001
Bonsall, F. F.; Duncan, J.
185
1973
Linear operators in complete positive cones. Zbl 0097.09803
Bonsall, F. F.
48
1958
Inequalities with non-conjugate parameters. Zbl 0042.06303
Bonsall, F. F.
19
1951
Sublinear functionals and ideals in partially ordered vector spaces. Zbl 0065.09702
Bonsall, F. F.
18
1954
Annihilator algebras. Zbl 0055.10602
Bonsall, F. F.; Goldie, A. W.
17
1954
Semi-algebras of continuous functions. Zbl 0122.11502
Bonsall, F. F.
16
1960
Extreme positive operators on algebras of functions. Zbl 0149.34002
Bonsall, F. F.; Lindenstrauss, Joram; Phelps, R. R.
16
1966
Boundedness of Hankel matrices. Zbl 0561.47027
Bonsall, F. F.
15
1984
Zeros of self-inversive polynomials. Zbl 0047.02002
Bonsall, F. F.; Marden, Morris
14
1952
Numerical ranges. Zbl 0461.47001
Bonsall, F. F.; Duncan, J.
12
1980
Endomorphisms of partially ordered vector spaces. Zbl 0065.09801
Bonsall, F. F.
11
1955
Endomorphisms of a partially ordered vector spaces without order unit. Zbl 0065.09802
Bonsall, F. F.
11
1955
On type 2 semi-algebras of continuous functions. Zbl 0142.10105
Bonsall, F. F.
11
1962
Decompositions of functions as sums of elementary functions. Zbl 0594.46019
Bonsall, F. F.
10
1986
Hankel operators on the Bergman space for the disc. Zbl 0604.47014
Bonsall, F. F.
10
1986
A minimal property of the norm in some Banach algebras. Zbl 0055.33804
Bonsall, F. F.
9
1954
Positive operators compact in an auxiliary topology. Zbl 0196.43301
Bonsall, F. F.
9
1960
A proof of Hartman’s theorem on compact Hankel operators. Zbl 0312.47020
Bonsall, F. F.; Power, S. C.
8
1975
The spectral radius of a Hermitian element of a Banach algebra. Zbl 0204.44304
Bonsall, F. F.; Crabb, M. J.
8
1970
The semi-algebra generated by a compact linear operator. Zbl 0132.09601
Bonsall, F. F.; Tomiuk, B. J.
7
1965
Extreme maximal ideals of a partially ordered vector space. Zbl 0074.32103
Bonsall, F. F.
7
1956
On the representation of points of a convex set. Zbl 0122.34603
Bonsall, F. F.
6
1963
Vanishing \(\ell ^ 1\)-sums of the Poisson kernel, and sums with positive coefficients. Zbl 0696.31004
Bonsall, F. F.; Walsh, D.
6
1989
Compact linear operators from an algebraic standpoint. Zbl 0144.38602
Bonsall, F. F.
6
1967
The numerical range of a continuous mapping of a normed space. Zbl 0162.20101
Bonsall, F. F.; Cain, B. E.; Schneider, H.
6
1968
Square roots in Banach \(^*\)-algebras. Zbl 0239.46059
Bonsall, F. F.; Stirling, D. S. G.
6
1972
Locally compact semi-algebras. Zbl 0125.35303
Bonsall, F. F.
5
1963
A general atomic decomposition theorem and Banach’s closed range theorem. Zbl 0747.46007
Bonsall, F. F.
5
1991
Dually irreducible representations of Banach algebras. Zbl 0153.44603
Bonsall, F. F.; Duncan, J.
5
1968
Domination of the supremum of a bounded harmonic function by its supremum over a countable subset. Zbl 0658.31001
Bonsall, F. F.
5
1987
Critical points of rational functions with self-inversive polynomial factors. Zbl 0055.01401
Bonsall, F. F.; Marden, Morris
4
1954
Indefinitely isometric linear operators in a reflexive Banach space. Zbl 0065.09901
Bonsall, F. F.
4
1955
Regular ideals of partially ordered vector spaces. Zbl 0074.32104
Bonsall, F. F.
4
1956
The decomposition of continuous linear functionals into non-negative components. Zbl 0089.31302
Bonsall, F. F.
4
1957
Locally multiplicative wedges in Banach algebras. Zbl 0297.46036
Bonsall, F. F.
4
1975
Symbols for trace class Hankel operators with good estimates for norms. Zbl 0624.47020
Bonsall, F. F.; Walsh, D.
4
1986
The numerical range of an element of a normed algebra. Zbl 0175.13806
Bonsall, F. F.
4
1969
Hermitian operators on Banach spaces. Zbl 0246.47041
Bonsall, F. F.
3
1972
An inclusion theorem for the matrix and essential ranges of operators. Zbl 0251.47006
Bonsall, F. F.
3
1973
Stability theorems for cones and wedges of continuous functions. Zbl 0175.43002
Bonsall, F. F.
3
1969
Algebraic properties of some convex conces of functions. Zbl 0117.32501
Bonsall, F. F.
2
1963
Certain Jordan operator algebras and double commutant theorems. Zbl 0317.46054
Bonsall, F. F.; Rosenthal, Peter
2
1976
A survey of Banach algebra theory. Zbl 0207.44201
Bonsall, F. F.
2
1970
On the representation of cones and semi-algebras with given generators. Zbl 0132.09504
Bonsall, F. F.
1
1965
Type 2 semi-algebras of continuous functions. Zbl 1035.46037
Bonsall, F. F.
1
2000
A note on subadditive functionals. Zbl 0055.10002
Bonsall, F. F.
1
1954
Dual extremum problems in the theory of functions. Zbl 0070.07101
Bonsall, F. F.
1
1956
The iteration of operators mapping a positive cone into itself. Zbl 0097.31602
Bonsall, F. F.
1
1959
Hankel operators with PC symbols and the space \(H^\infty\)+PC. Zbl 0468.47017
Bonsall, F. F.; Gillespie, T. A.
1
1981
Dual representations of Banach algebras. Zbl 0148.37602
Bonsall, F. F.; Duncan, J.
1
1967
Banach algebra elements whose spectra intersect \(R^+\). Zbl 0276.46020
Bonsall, F. F.; Thompson, A. C.
1
1974
Jordan algebras spanned by Hermitian elements of a Banach algebra. Zbl 0343.46032
Bonsall, F. F.
1
1977
Criteria for boundedness and compactness of Hankel operators. Zbl 0553.47013
Bonsall, F. F.
1
1984
Conditions for boundedness of Hankel matrices. Zbl 0822.47027
Bonsall, F. F.
1
1994
Operators that act compactly on an algebra of operators. Zbl 0182.16903
Bonsall, F. F.
1
1969
Type 2 semi-algebras of continuous functions. Zbl 1035.46037
Bonsall, F. F.
1
2000
Conditions for boundedness of Hankel matrices. Zbl 0822.47027
Bonsall, F. F.
1
1994
A general atomic decomposition theorem and Banach’s closed range theorem. Zbl 0747.46007
Bonsall, F. F.
5
1991
Vanishing \(\ell ^ 1\)-sums of the Poisson kernel, and sums with positive coefficients. Zbl 0696.31004
Bonsall, F. F.; Walsh, D.
6
1989
Domination of the supremum of a bounded harmonic function by its supremum over a countable subset. Zbl 0658.31001
Bonsall, F. F.
5
1987
Decompositions of functions as sums of elementary functions. Zbl 0594.46019
Bonsall, F. F.
10
1986
Hankel operators on the Bergman space for the disc. Zbl 0604.47014
Bonsall, F. F.
10
1986
Symbols for trace class Hankel operators with good estimates for norms. Zbl 0624.47020
Bonsall, F. F.; Walsh, D.
4
1986
Boundedness of Hankel matrices. Zbl 0561.47027
Bonsall, F. F.
15
1984
Criteria for boundedness and compactness of Hankel operators. Zbl 0553.47013
Bonsall, F. F.
1
1984
Hankel operators with PC symbols and the space \(H^\infty\)+PC. Zbl 0468.47017
Bonsall, F. F.; Gillespie, T. A.
1
1981
Numerical ranges. Zbl 0461.47001
Bonsall, F. F.; Duncan, J.
12
1980
Jordan algebras spanned by Hermitian elements of a Banach algebra. Zbl 0343.46032
Bonsall, F. F.
1
1977
Certain Jordan operator algebras and double commutant theorems. Zbl 0317.46054
Bonsall, F. F.; Rosenthal, Peter
2
1976
A proof of Hartman’s theorem on compact Hankel operators. Zbl 0312.47020
Bonsall, F. F.; Power, S. C.
8
1975
Locally multiplicative wedges in Banach algebras. Zbl 0297.46036
Bonsall, F. F.
4
1975
Banach algebra elements whose spectra intersect \(R^+\). Zbl 0276.46020
Bonsall, F. F.; Thompson, A. C.
1
1974
Complete normed algebras. Zbl 0271.46039
Bonsall, F. F.; Duncan, J.
499
1973
Numerical ranges II. Zbl 0262.47001
Bonsall, F. F.; Duncan, J.
185
1973
An inclusion theorem for the matrix and essential ranges of operators. Zbl 0251.47006
Bonsall, F. F.
3
1973
Square roots in Banach \(^*\)-algebras. Zbl 0239.46059
Bonsall, F. F.; Stirling, D. S. G.
6
1972
Hermitian operators on Banach spaces. Zbl 0246.47041
Bonsall, F. F.
3
1972
Numerical ranges of operators on normed spaces and of elements of normed algebras. Zbl 0207.44802
Bonsall, F. F.; Duncan, J.
300
1971
The spectral radius of a Hermitian element of a Banach algebra. Zbl 0204.44304
Bonsall, F. F.; Crabb, M. J.
8
1970
A survey of Banach algebra theory. Zbl 0207.44201
Bonsall, F. F.
2
1970
The numerical range of an element of a normed algebra. Zbl 0175.13806
Bonsall, F. F.
4
1969
Stability theorems for cones and wedges of continuous functions. Zbl 0175.43002
Bonsall, F. F.
3
1969
Operators that act compactly on an algebra of operators. Zbl 0182.16903
Bonsall, F. F.
1
1969
The numerical range of a continuous mapping of a normed space. Zbl 0162.20101
Bonsall, F. F.; Cain, B. E.; Schneider, H.
6
1968
Dually irreducible representations of Banach algebras. Zbl 0153.44603
Bonsall, F. F.; Duncan, J.
5
1968
Compact linear operators from an algebraic standpoint. Zbl 0144.38602
Bonsall, F. F.
6
1967
Dual representations of Banach algebras. Zbl 0148.37602
Bonsall, F. F.; Duncan, J.
1
1967
Extreme positive operators on algebras of functions. Zbl 0149.34002
Bonsall, F. F.; Lindenstrauss, Joram; Phelps, R. R.
16
1966
The semi-algebra generated by a compact linear operator. Zbl 0132.09601
Bonsall, F. F.; Tomiuk, B. J.
7
1965
On the representation of cones and semi-algebras with given generators. Zbl 0132.09504
Bonsall, F. F.
1
1965
On the representation of points of a convex set. Zbl 0122.34603
Bonsall, F. F.
6
1963
Locally compact semi-algebras. Zbl 0125.35303
Bonsall, F. F.
5
1963
Algebraic properties of some convex conces of functions. Zbl 0117.32501
Bonsall, F. F.
2
1963
On type 2 semi-algebras of continuous functions. Zbl 0142.10105
Bonsall, F. F.
11
1962
Semi-algebras of continuous functions. Zbl 0122.11502
Bonsall, F. F.
16
1960
Positive operators compact in an auxiliary topology. Zbl 0196.43301
Bonsall, F. F.
9
1960
The iteration of operators mapping a positive cone into itself. Zbl 0097.31602
Bonsall, F. F.
1
1959
Linear operators in complete positive cones. Zbl 0097.09803
Bonsall, F. F.
48
1958
The decomposition of continuous linear functionals into non-negative components. Zbl 0089.31302
Bonsall, F. F.
4
1957
Extreme maximal ideals of a partially ordered vector space. Zbl 0074.32103
Bonsall, F. F.
7
1956
Regular ideals of partially ordered vector spaces. Zbl 0074.32104
Bonsall, F. F.
4
1956
Dual extremum problems in the theory of functions. Zbl 0070.07101
Bonsall, F. F.
1
1956
Endomorphisms of partially ordered vector spaces. Zbl 0065.09801
Bonsall, F. F.
11
1955
Endomorphisms of a partially ordered vector spaces without order unit. Zbl 0065.09802
Bonsall, F. F.
11
1955
Indefinitely isometric linear operators in a reflexive Banach space. Zbl 0065.09901
Bonsall, F. F.
4
1955
Sublinear functionals and ideals in partially ordered vector spaces. Zbl 0065.09702
Bonsall, F. F.
18
1954
Annihilator algebras. Zbl 0055.10602
Bonsall, F. F.; Goldie, A. W.
17
1954
A minimal property of the norm in some Banach algebras. Zbl 0055.33804
Bonsall, F. F.
9
1954
Critical points of rational functions with self-inversive polynomial factors. Zbl 0055.01401
Bonsall, F. F.; Marden, Morris
4
1954
A note on subadditive functionals. Zbl 0055.10002
Bonsall, F. F.
1
1954
Zeros of self-inversive polynomials. Zbl 0047.02002
Bonsall, F. F.; Marden, Morris
14
1952
Inequalities with non-conjugate parameters. Zbl 0042.06303
Bonsall, F. F.
19
1951
all top 5

Cited by 1,120 Authors

31 Rodríguez Palacios, Angel
22 Martín Suarez, Miguel
17 Acosta Vigil, María Dolores
14 Saito, Kichisuke
12 Bonsall, Frank Featherstone
12 Merí, Javier
12 Nussbaum, Roger David
11 Bhatt, Subhash J.
11 Payá, Rafael
11 Thieme, Horst R.
10 Edwards, Christopher Martin
10 Kim, Sun Kwang
10 Partington, Jonathan R.
10 Yood, Bertram
9 García, Domingo
9 Maestre, Manuel
9 Štěrbová, Dina
8 Becerra Guerrero, Julio
8 Duncan, John
8 Kaup, Wilhelm Gerhard
8 Krnić, Mario
8 Raubenheimer, Heinrich
7 Boulabiar, Karim Mohamed
7 Lau, Anthony To-Ming
7 Müller, Vladimír
7 Park, Choonkil
7 Scheffold, Egon
7 Schneider, Hans
7 Spain, Philip G.
7 Tanaka, Ryotaro
7 Willis, George A.
6 Aiena, Pietro
6 Boasso, Enrico
6 Brešar, Matej
6 Chō, Muneo
6 Crabb, Michael J.
6 Hamada, Hidetaka
6 Jamison, James Edward
6 Kaidi, El Amin Mokhtar
6 Kim, Sung Guen
6 Kohr, Gabriela
6 Lee, Han Ju
6 Peralta, Antonio M.
6 Sourour, Ahmed Ramzi
6 Villena, Armando R.
5 Aksoy, Asuman Güven
5 Aupetit, Bernard H.
5 Benslimane, Mohamed
5 Blecher, David P.
5 Duggal, Bhagwati Prashad
5 Ghahramani, Fereidoun
5 Graham, Ian R.
5 Komuro, Naoto
5 Li, Chi-Kwong
5 Mabrouk, Mohamed
5 Mitani, Ken-Ichi
5 Neumann, Michael M.
5 Pečarić, Josip
5 Poguntke, Detlev
5 Rüttimann, Gottfried T.
5 Samei, Ebrahim
5 Smith, Roger R.
5 Soleimani-Mourchehkhorti, Maryam
5 Tomiuk, Bohdan J.
5 Youngson, Martin A.
4 Barnes, Bruce A.
4 Brits, Rudi M.
4 Chang, Ick-Soon
4 Chu, Choho
4 Deutsch, Emeric
4 El Kinani, Abdellah
4 Esslamzadeh, Gholam Hossein
4 Filali, Mahmoud
4 Grobler, Jacobus J.
4 Harris, Lawrence A.
4 Jin, Wen
4 Kaniuth, Eberhard
4 Kato, Mikio
4 Kulkarni, S. H.
4 Lewicki, Grzegorz
4 Loy, Richard J.
4 Magajna, Bojan
4 Mallet-Paret, John Joseph
4 McGregor, Colin M.
4 Moreno Galindo, Antonio
4 Mouton, Sonja
4 Nakazi, Takahiko
4 Norvidas, Saulius
4 Runde, Volker
4 Shul’man, Viktor Semënovich
4 Sinclair, Allan M.
4 Spijker, Marc N.
4 Turovskii, Yuri V.
4 Upmeier, Harald
3 Abtahi, Fatemeh
3 Alaminos, Jerónimo
3 Alexander, Freda E.
3 Ali, Shakir
3 Bae, Jae-Hyeong
3 Barker, George Phillip
...and 1,020 more Authors
all top 5

Cited in 199 Serials

100 Journal of Mathematical Analysis and Applications
91 Proceedings of the American Mathematical Society
84 Journal of Functional Analysis
69 Linear Algebra and its Applications
36 Transactions of the American Mathematical Society
32 Mathematische Annalen
31 Proceedings of the Edinburgh Mathematical Society. Series II
28 Mathematische Zeitschrift
23 Rendiconti del Circolo Matemàtico di Palermo. Serie II
22 Integral Equations and Operator Theory
22 Positivity
21 Journal of Algebra
19 Rocky Mountain Journal of Mathematics
19 Glasgow Mathematical Journal
18 Archiv der Mathematik
18 Manuscripta Mathematica
16 Israel Journal of Mathematics
14 Mathematical Proceedings of the Cambridge Philosophical Society
14 Mediterranean Journal of Mathematics
13 Advances in Mathematics
13 Mathematische Nachrichten
13 Quaestiones Mathematicae
12 Communications in Algebra
12 Linear and Multilinear Algebra
11 Acta Mathematica Sinica. English Series
10 Bulletin of the Australian Mathematical Society
10 Journal of Mathematical Sciences (New York)
9 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
9 Czechoslovak Mathematical Journal
8 Monatshefte für Mathematik
8 Aequationes Mathematicae
8 Banach Journal of Mathematical Analysis
7 Periodica Mathematica Hungarica
7 Studia Mathematica
7 Acta Mathematica Hungarica
7 Annales Scientifiques de l’Université Blaise Pascal Clermont-Ferrand II. Mathématiques
7 Indagationes Mathematicae. New Series
7 Abstract and Applied Analysis
6 Journal of Mathematical Biology
6 Arkiv för Matematik
6 Annales de l’Institut Fourier
6 Siberian Mathematical Journal
6 Journal of Inequalities and Applications
6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Mathematical Notes
5 Functional Analysis and its Applications
5 International Journal of Mathematics and Mathematical Sciences
5 Journal of Approximation Theory
5 Journal of Soviet Mathematics
5 Results in Mathematics
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Expositiones Mathematicae
5 Journal of the Australian Mathematical Society
5 Bulletin of the American Mathematical Society
4 Lithuanian Mathematical Journal
4 Numerical Functional Analysis and Optimization
4 Semigroup Forum
3 Journal d’Analyse Mathématique
3 Acta Mathematica
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Applied Mathematics and Computation
3 Illinois Journal of Mathematics
3 Journal of the Mathematical Society of Japan
3 Mathematika
3 Numerische Mathematik
3 Bulletin of the Iranian Mathematical Society
3 MCSS. Mathematics of Control, Signals, and Systems
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Journal of Dynamics and Differential Equations
3 The Journal of Fourier Analysis and Applications
3 The Ramanujan Journal
3 Communications of the Korean Mathematical Society
3 Nihonkai Mathematical Journal
3 Discrete and Continuous Dynamical Systems. Series B
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Science China. Mathematics
3 Advances in Operator Theory
2 Applicable Analysis
2 Archive for Rational Mechanics and Analysis
2 Reports on Mathematical Physics
2 Algebra Universalis
2 Duke Mathematical Journal
2 Journal of Computational and Applied Mathematics
2 Journal of Differential Equations
2 Journal für die Reine und Angewandte Mathematik
2 Mathematica Slovaca
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Zeitschrift für Analysis und ihre Anwendungen
2 Applied Mathematics Letters
2 Forum Mathematicum
2 Numerical Algorithms
2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
2 Acta Mathematica Sinica. New Series
2 Applied and Computational Harmonic Analysis
2 Statistical Papers
2 St. Petersburg Mathematical Journal
2 Mathematical Inequalities & Applications
2 Revista Matemática Complutense
2 Computational Methods and Function Theory
2 Journal of Dynamical Systems and Geometric Theories
...and 99 more Serials
all top 5

Cited in 59 Fields

696 Functional analysis (46-XX)
494 Operator theory (47-XX)
97 Abstract harmonic analysis (43-XX)
73 Nonassociative rings and algebras (17-XX)
66 Linear and multilinear algebra; matrix theory (15-XX)
40 Associative rings and algebras (16-XX)
40 Topological groups, Lie groups (22-XX)
39 Functions of a complex variable (30-XX)
32 Real functions (26-XX)
28 Several complex variables and analytic spaces (32-XX)
24 Approximations and expansions (41-XX)
22 Difference and functional equations (39-XX)
21 Harmonic analysis on Euclidean spaces (42-XX)
20 Order, lattices, ordered algebraic structures (06-XX)
14 Global analysis, analysis on manifolds (58-XX)
14 Numerical analysis (65-XX)
14 Biology and other natural sciences (92-XX)
13 Partial differential equations (35-XX)
13 General topology (54-XX)
12 Potential theory (31-XX)
12 Convex and discrete geometry (52-XX)
11 Ordinary differential equations (34-XX)
10 Measure and integration (28-XX)
10 Dynamical systems and ergodic theory (37-XX)
9 Probability theory and stochastic processes (60-XX)
9 Systems theory; control (93-XX)
7 Group theory and generalizations (20-XX)
6 Integral transforms, operational calculus (44-XX)
6 Integral equations (45-XX)
6 Quantum theory (81-XX)
5 Category theory; homological algebra (18-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Operations research, mathematical programming (90-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Number theory (11-XX)
4 Commutative algebra (13-XX)
4 Special functions (33-XX)
3 General and overarching topics; collections (00-XX)
3 Field theory and polynomials (12-XX)
3 Algebraic geometry (14-XX)
3 Sequences, series, summability (40-XX)
3 Algebraic topology (55-XX)
3 Manifolds and cell complexes (57-XX)
2 \(K\)-theory (19-XX)
2 Geometry (51-XX)
2 Differential geometry (53-XX)
2 Statistics (62-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 General algebraic systems (08-XX)
1 Computer science (68-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

Citations by Year

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