Edit Profile McGregor, Colin M. Compute Distance To: Compute Author ID: mcgregor.colin-m Published as: McGregor, C. M.; McGregor, Colin M. Documents Indexed: 25 Publications since 1970, including 1 Book all top 5 Co-Authors 4 single-authored 18 Crabb, M. J. 12 Duncan, John 2 Munn, Walter Douglas 1 Chaudhry, Maqsood A. 1 Nimmo, Jonathan J. C. 1 Pryce, John D. 1 Ransford, Thomas J. 1 Stothers, W. Wilson 1 Wassermann, Simon 1 White, Albert jun. all top 5 Serials 6 Glasgow Mathematical Journal 4 Proceedings of the Edinburgh Mathematical Society. Series II 2 Bulletin of the London Mathematical Society 2 Journal of the London Mathematical Society. Second Series 2 Semigroup Forum 2 Mathematical Proceedings of the Royal Irish Academy 1 American Mathematical Monthly 1 Studia Mathematica 1 Acta Mathematica 1 Proceedings of the London Mathematical Society. Third Series 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of the Australian Mathematical Society all top 5 Fields 15 Functional analysis (46-XX) 6 Operator theory (47-XX) 5 Group theory and generalizations (20-XX) 4 Associative rings and algebras (16-XX) 3 Abstract harmonic analysis (43-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 18 Publications have been cited 94 times in 83 Documents Cited by ▼ Year ▼ The numerical index of a normed space. Zbl 0197.10402Duncan, J.; McGregor, C. M.; Pryce, J. D.; White, A. J. 35 1970 Characterizations of commutativity for \(C^*\)-algebras. Zbl 0301.46047Crabb, M. J.; Duncan, J.; McGregor, C. M. 12 1974 Some extremal problems in the theory of numerical ranges. Zbl 0229.46049Crabb, M. J.; Duncan, J.; McGregor, C. M. 9 1972 A representation for \(\ell^1(S)\). Zbl 0328.43011McGregor, Colin M. 7 1976 On the primitivity of the group ring of a free group. Zbl 0344.20002McGregor, Colin M. 6 1976 Carleman’s inequality. Zbl 1187.26011Duncan, John; McGregor, Colin M. 5 2003 On the algebra of a free monoid. Zbl 0860.20050Crabb, M. J.; McGregor, C. M.; Munn, W. D.; Wassermann, S. 4 1996 The primitivity of semigroup algebras of free products. Zbl 0870.16018Chaudhry, M. A.; Crabb, M. J.; McGregor, C. M. 3 1997 Finite-dimensional normed linear spaces with numerical index 1. Zbl 0212.14304McGregor, C. M. 3 1971 A property of the complex semigroup algebra of a free monoid. Zbl 1104.16021Crabb, M. J.; McGregor, C. M.; Munn, W. D. 2 2006 Finiteness and recognizability problems for substitution maps on two symbols. Zbl 1202.37014Crabb, M. J.; Duncan, J.; McGregor, C. M. 1 2010 On one-sided primitivity of Banach algebras. Zbl 1195.46047Crabb, M. J.; Duncan, J.; McGregor, C. M. 1 2010 Spectra in some inverse semigroup algebras. Zbl 1098.46039Crabb, M. J.; Duncan, J.; McGregor, C. M. 1 2004 Hermitian powers: A Müntz theorem and extremal algebras. Zbl 0999.46021Crabb, M. J.; Duncan, J.; McGregor, C. M.; Ransford, T. J. 1 2001 Faithful, irreducible \(*\)-representations for group algebras of free products. Zbl 0948.22009Crabb, M. J.; McGregor, C. M. 1 1999 Fundamentals of university mathematics. Zbl 0823.00001McGregor, C. M.; Nimmo, J. J. C.; Stothers, W. W. 1 1994 Polynomials in a Hermitian element. Zbl 0667.46036Crabb, M. J.; McGregor, C. M. 1 1988 Mapping theorems and the numerical radius. Zbl 0241.46046Crabb, M. J.; Duncan, J.; McGregor, C. M. 1 1972 Finiteness and recognizability problems for substitution maps on two symbols. Zbl 1202.37014Crabb, M. J.; Duncan, J.; McGregor, C. M. 1 2010 On one-sided primitivity of Banach algebras. Zbl 1195.46047Crabb, M. J.; Duncan, J.; McGregor, C. M. 1 2010 A property of the complex semigroup algebra of a free monoid. Zbl 1104.16021Crabb, M. J.; McGregor, C. M.; Munn, W. D. 2 2006 Spectra in some inverse semigroup algebras. Zbl 1098.46039Crabb, M. J.; Duncan, J.; McGregor, C. M. 1 2004 Carleman’s inequality. Zbl 1187.26011Duncan, John; McGregor, Colin M. 5 2003 Hermitian powers: A Müntz theorem and extremal algebras. Zbl 0999.46021Crabb, M. J.; Duncan, J.; McGregor, C. M.; Ransford, T. J. 1 2001 Faithful, irreducible \(*\)-representations for group algebras of free products. Zbl 0948.22009Crabb, M. J.; McGregor, C. M. 1 1999 The primitivity of semigroup algebras of free products. Zbl 0870.16018Chaudhry, M. A.; Crabb, M. J.; McGregor, C. M. 3 1997 On the algebra of a free monoid. Zbl 0860.20050Crabb, M. J.; McGregor, C. M.; Munn, W. D.; Wassermann, S. 4 1996 Fundamentals of university mathematics. Zbl 0823.00001McGregor, C. M.; Nimmo, J. J. C.; Stothers, W. W. 1 1994 Polynomials in a Hermitian element. Zbl 0667.46036Crabb, M. J.; McGregor, C. M. 1 1988 A representation for \(\ell^1(S)\). Zbl 0328.43011McGregor, Colin M. 7 1976 On the primitivity of the group ring of a free group. Zbl 0344.20002McGregor, Colin M. 6 1976 Characterizations of commutativity for \(C^*\)-algebras. Zbl 0301.46047Crabb, M. J.; Duncan, J.; McGregor, C. M. 12 1974 Some extremal problems in the theory of numerical ranges. Zbl 0229.46049Crabb, M. J.; Duncan, J.; McGregor, C. M. 9 1972 Mapping theorems and the numerical radius. Zbl 0241.46046Crabb, M. J.; Duncan, J.; McGregor, C. M. 1 1972 Finite-dimensional normed linear spaces with numerical index 1. Zbl 0212.14304McGregor, C. M. 3 1971 The numerical index of a normed space. Zbl 0197.10402Duncan, J.; McGregor, C. M.; Pryce, J. D.; White, A. J. 35 1970 all cited Publications top 5 cited Publications all top 5 Cited by 98 Authors 21 Martín Suarez, Miguel 14 Merí, Javier 9 Crabb, M. J. 7 McGregor, Colin M. 5 Kadets, Vladimir M. 5 Payá, Rafael 4 Duncan, John 4 Lee, Han Ju 4 Pasteczka, Paweł 4 Rodríguez Palacios, Angel 3 Kelarev, Andrei Vladimirovich 3 Kim, Sun Kwang 3 Munn, Walter Douglas 3 Popov, Mykhaĭlo Mykhaĭlovych 3 Shepelska, Varvara 2 Acosta Vigil, María Dolores 2 Aviles Lopez, Antonio 2 Hatori, Osamu 2 Irving, Ronald S. 2 Oikhberg, Timur 2 Rodríguez, Angel F. Zazo 2 Santos, Elisa R. 2 Watters, Paul A. 2 Yearwood, J. L. 1 Abawajy, Jemal H. 1 Abe, Toshikazu 1 Aksoy, Asuman Güven 1 Anderson, James Milne 1 Aparicio, C. 1 Ardalani, Mohammad Ali 1 Balogun, Bola O. 1 Berthé, Valérie 1 Bureau, Dominique P. 1 Capel, Ángela 1 Chaudhry, Maqsood A. 1 Choi, Yun Sung 1 de Wet, Pieter Oloff 1 Dumas, André 1 Ed-dari, Elmouloudi 1 El Amin, Kaidi 1 Fakhar, Majid 1 Finet, Catherine 1 France, James 1 Gao, Peng 1 García, Domingo 1 Grecu, Bogdan C. 1 Holmes, Richard B. 1 Hook, Sarah E. 1 Hosseiniun, S. A. R. 1 Huang, XuJian 1 Iochum, Bruno 1 Jeang, Jyh-Shyang 1 Kim, Sung Guen 1 Ko, Chun-Chieh 1 Koszmider, Piotr B. 1 Lewicki, Grzegorz 1 Lopez, Secundino 1 Loupias, Guy 1 Maestre, Manuel 1 Martínez-Moreno, Juan 1 Martini, Horst 1 Mena, Juan F. 1 Molnár, Lajos 1 Morales Campoy, Antonio 1 Nakamura, Yoshihiro 1 Nikol’skiĭ, Nikolaĭ Kapitonovich 1 Nishinaka, Tsunekazu 1 Norvidas, Saulius 1 Ocaña, F. M. 1 Ostrovska, Sofiya 1 Páles, Zsolt 1 Pan, Liuzhan 1 Powell, Christopher D. 1 Randrianantoanina, Beata 1 Rhodes, John Lewis 1 Saito, Kichisuke 1 Sakaba, Kazunari 1 Schmidt, Berndt 1 Schneider, Hans 1 Shvydkoy, Roman V. 1 Silva, Pedro V. 1 Smith, Roger R. 1 Soleimani-Mourchehkhorti, Maryam 1 Spalsbury, Angela 1 Steiner, Wolfgang 1 Swanepoel, Konrad J. 1 Tan, Dongni 1 Taylor, Peter J. 1 Thuswaldner, Jörg Maximilian 1 Turner, Robert E. L. 1 Wang, Ruidong 1 Ward, Joseph Dinneen 1 Werner, Dirk 1 Wu, Wei 1 Wu, Xiumei 1 Yassawi, Reem 1 Yost, David T. 1 Zajac, Michal all top 5 Cited in 41 Serials 11 Journal of Mathematical Analysis and Applications 6 Proceedings of the American Mathematical Society 5 Journal of Functional Analysis 5 Linear Algebra and its Applications 4 Glasgow Mathematical Journal 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Journal of the Australian Mathematical Society 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Semigroup Forum 2 Studia Mathematica 2 Journal of Algebra 2 Journal of Approximation Theory 2 Abstract and Applied Analysis 1 Bulletin of the Australian Mathematical Society 1 Israel Journal of Mathematics 1 Lithuanian Mathematical Journal 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Illinois Journal of Mathematics 1 Journal of Optimization Theory and Applications 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Numerical Functional Analysis and Optimization 1 Quaestiones Mathematicae 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Acta Mathematica Hungarica 1 International Journal of Algebra and Computation 1 Positivity 1 Journal of Inequalities and Applications 1 Nihonkai Mathematical Journal 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Banach Journal of Mathematical Analysis 1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 1 Journal of Theoretical Biology all top 5 Cited in 22 Fields 53 Functional analysis (46-XX) 36 Operator theory (47-XX) 9 Associative rings and algebras (16-XX) 9 Group theory and generalizations (20-XX) 7 Real functions (26-XX) 4 Approximations and expansions (41-XX) 3 Abstract harmonic analysis (43-XX) 3 Computer science (68-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year