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## Brown, Aldric L.

Compute Distance To:
 Author ID: brown.aldric-l Published as: Brown, A.; Brown, A. L.; Brown, Aldric L.
 Documents Indexed: 51 Publications since 1958, including 2 Books Reviewing Activity: 97 Reviews

#### Co-Authors

 9 single-authored

#### Serials

 3 Journal of Approximation Theory 1 Journal of Functional Analysis 1 Journal of the Australian Mathematical Society. Series A

#### Fields

 9 Approximations and expansions (41-XX) 6 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

35 Publications have been cited 203 times in 159 Documents Cited by Year
Best $$n$$-dimensional approximation to sets of functions. Zbl 0129.04702
Brown, A. L.
1964
Elements of functional analysis. Zbl 0199.17902
Brown, A. L.; Page, A.
1970
On continuous selections for metric projections in spaces of continuous functions. Zbl 0224.41013
Brown, A. L.
1971
A rotund reflexive space having a subspace of codimension two with a discontinuous metric projection. Zbl 0275.46016
Brown, A. L.
1974
Set valued mappings, continuous selections, and metric projections. Zbl 0675.41037
Brown, A. L.
1989
Suns in normed linear spaces which are finite dimensional. Zbl 0607.41027
Brown, A. L.
1987
The calculus of operator functions and operator convexity. Zbl 0969.47009
Brown, A. L.; Vasudeva, H. L.
2000
On the connectedness properties of suns in finite dimensional spaces. Zbl 0682.41040
Brown, A. L.
1988
Chebyshev subspaces of finite codimension in spaces of continuous functions. Zbl 0386.41026
Brown, A. L.
1978
An extension to Mairhuber’s theorem. On metric projections and discontinuity of multivariate best uniform approximation. Zbl 0511.41036
Brown, A. L.
1982
Lower semicontinuity concepts, continuous selections, and set valued metric projections. Zbl 1001.41021
Brown, A. L.; Deutsch, Frank; Indumathi, V.; Kenderov, Petar S.
2002
Equations for periodic solutions of a logistic difference equation. Zbl 0471.39002
Brown, A.
1981
The Borsuk-Ulam theorem and orthogonality in normed linear spaces. Zbl 0425.46012
Brown, A. L.
1979
On the space of subspaces of a Banach space. Zbl 0233.46027
Brown, A. L.
1972
Suns in polyhedral spaces. Zbl 1044.41020
Brown, Aldric L.
2003
On the problem of characterising suns in finite dimensional spaces. Zbl 1017.41021
Brown, A. L.
2002
Metric projections in spaces of integrable functions. Zbl 0827.41020
Brown, A. L.
1995
Best approximation by continuous n-convex functions. Zbl 0692.41024
Brown, A. L.
1989
On the zeros of certain functions which have a piecewise alternately convex and concave pth derivative. Zbl 0602.41009
Brown, A. L.
1986
Reflection and transmission of plane waves at an interface between two fluids. Zbl 1194.76263
Klenow, B.; Nisewonger, A.; Batra, R. C.; Brown, A.
2007
Finite rank approximations to integral operators which satisfy certain total positivity conditions. Zbl 0485.41022
Brown, A. L.
1982
Chebyshev sets and facial systems of convex sets in finite-dimensional spaces. Zbl 0419.41025
Brown, A. L.
1980
On the canonical projection of the third dual of a Banach space onto the first dual. Zbl 0333.46008
Brown, A. L.
1976
On lower semi-continuous metric projections onto finite dimensional subspaces of spaces of continuous functions. Zbl 1264.46007
Brown, Aldric L.
2013
Continuous selections for metric projections in spaces of continuous functions and a disjoint leaves condition. Zbl 1123.41022
Brown, A. L.
2006
The questions of Haar and Mairhuber for five possible properties of a metric projection in a space of continuous functions. Zbl 1148.41032
Brown, Aldric L.
2005
An extension of the fundamental theorem of linear programming. Zbl 1010.90046
Brown, A.; Gedlaman, A.; Holder, A.; Martinez, S.
2002
The derived mappings and the order of a set-valued mapping between topological spaces. Zbl 0903.54010
Brown, A. L.
1997
Continuous selections for metric projections in spaces of continuous functions: On results of Thomas Fisher, results of Li Wu and the relation between them. Zbl 0673.41023
Brown, Aldric L.
1989
Best approximation by smooth functions and related problems. Zbl 0559.41021
Brown, A. L.
1985
Solutions of period four for a non-linear difference equation. Zbl 0549.39001
Brown, A.
1984
Solutions of period three for a nonlinear difference equation. Zbl 0539.39002
Brown, A.
1984
Solutions of period seven for a logistic difference equation. Zbl 0482.39001
Brown, A.
1982
Solution of a linear difference equation. Zbl 0286.39001
Brown, A.
1974
Abstract approximation theory. Zbl 0275.41017
Brown, A. L.
1970
On lower semi-continuous metric projections onto finite dimensional subspaces of spaces of continuous functions. Zbl 1264.46007
Brown, Aldric L.
2013
Reflection and transmission of plane waves at an interface between two fluids. Zbl 1194.76263
Klenow, B.; Nisewonger, A.; Batra, R. C.; Brown, A.
2007
Continuous selections for metric projections in spaces of continuous functions and a disjoint leaves condition. Zbl 1123.41022
Brown, A. L.
2006
The questions of Haar and Mairhuber for five possible properties of a metric projection in a space of continuous functions. Zbl 1148.41032
Brown, Aldric L.
2005
Suns in polyhedral spaces. Zbl 1044.41020
Brown, Aldric L.
2003
Lower semicontinuity concepts, continuous selections, and set valued metric projections. Zbl 1001.41021
Brown, A. L.; Deutsch, Frank; Indumathi, V.; Kenderov, Petar S.
2002
On the problem of characterising suns in finite dimensional spaces. Zbl 1017.41021
Brown, A. L.
2002
An extension of the fundamental theorem of linear programming. Zbl 1010.90046
Brown, A.; Gedlaman, A.; Holder, A.; Martinez, S.
2002
The calculus of operator functions and operator convexity. Zbl 0969.47009
Brown, A. L.; Vasudeva, H. L.
2000
The derived mappings and the order of a set-valued mapping between topological spaces. Zbl 0903.54010
Brown, A. L.
1997
Metric projections in spaces of integrable functions. Zbl 0827.41020
Brown, A. L.
1995
Set valued mappings, continuous selections, and metric projections. Zbl 0675.41037
Brown, A. L.
1989
Best approximation by continuous n-convex functions. Zbl 0692.41024
Brown, A. L.
1989
Continuous selections for metric projections in spaces of continuous functions: On results of Thomas Fisher, results of Li Wu and the relation between them. Zbl 0673.41023
Brown, Aldric L.
1989
On the connectedness properties of suns in finite dimensional spaces. Zbl 0682.41040
Brown, A. L.
1988
Suns in normed linear spaces which are finite dimensional. Zbl 0607.41027
Brown, A. L.
1987
On the zeros of certain functions which have a piecewise alternately convex and concave pth derivative. Zbl 0602.41009
Brown, A. L.
1986
Best approximation by smooth functions and related problems. Zbl 0559.41021
Brown, A. L.
1985
Solutions of period four for a non-linear difference equation. Zbl 0549.39001
Brown, A.
1984
Solutions of period three for a nonlinear difference equation. Zbl 0539.39002
Brown, A.
1984
An extension to Mairhuber’s theorem. On metric projections and discontinuity of multivariate best uniform approximation. Zbl 0511.41036
Brown, A. L.
1982
Finite rank approximations to integral operators which satisfy certain total positivity conditions. Zbl 0485.41022
Brown, A. L.
1982
Solutions of period seven for a logistic difference equation. Zbl 0482.39001
Brown, A.
1982
Equations for periodic solutions of a logistic difference equation. Zbl 0471.39002
Brown, A.
1981
Chebyshev sets and facial systems of convex sets in finite-dimensional spaces. Zbl 0419.41025
Brown, A. L.
1980
The Borsuk-Ulam theorem and orthogonality in normed linear spaces. Zbl 0425.46012
Brown, A. L.
1979
Chebyshev subspaces of finite codimension in spaces of continuous functions. Zbl 0386.41026
Brown, A. L.
1978
On the canonical projection of the third dual of a Banach space onto the first dual. Zbl 0333.46008
Brown, A. L.
1976
A rotund reflexive space having a subspace of codimension two with a discontinuous metric projection. Zbl 0275.46016
Brown, A. L.
1974
Solution of a linear difference equation. Zbl 0286.39001
Brown, A.
1974
On the space of subspaces of a Banach space. Zbl 0233.46027
Brown, A. L.
1972
On continuous selections for metric projections in spaces of continuous functions. Zbl 0224.41013
Brown, A. L.
1971
Elements of functional analysis. Zbl 0199.17902
Brown, A. L.; Page, A.
1970
Abstract approximation theory. Zbl 0275.41017
Brown, A. L.
1970
Best $$n$$-dimensional approximation to sets of functions. Zbl 0129.04702
Brown, A. L.
1964
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#### Cited by 183 Authors

 9 Alimov, Alexey R. 9 Deutsch, Frank 6 Nürnberger, Günther 6 Tsar’kov, Igor’ Germanovich 5 Kamal, Aref K. 4 Brown, Allen L. jun. 4 Li, Wu 4 Sommer, Manfred 3 Blatter, Jörg 3 Brosowski, Bruno 3 Giles, John R. 3 Indumathi, V. 3 Lewicki, Grzegorz 3 Ozen, Kemal 2 Ammar, Aymen 2 Brown, Aldric L. 2 Ciesielski, Maciej 2 Goodall, David P. 2 Gutev, Valentin G. 2 Jeribi, Aref 2 Kosunen, Pekka 2 Lin, Tao 2 Lin, Yanping 2 Michelot, Christian 2 Morris, Peter D. 2 Ndiaye, Mariama 2 Reif, Jiri 2 Song, Renming 2 Swetits, John J. 2 Vasudeva, Harkrishan Lal 2 Weinstein, Stanley E. 2 Wulbert, Daniel E. 2 Xu, Yuesheng 2 Zhuang, Qiao 1 Agadi, Ali 1 Akhiev, Seyidali S. 1 Álvarez Seco, Teresa 1 Álvarez, José Antonio 1 Amir, Dan 1 Andreussi, Federico 1 Babaev, Malik-Bakhish A. 1 Babaev, Melik-Bakhysh Ali-Ikram oglu 1 Bačák, Miroslav 1 Bąkowska, Anna 1 Baksalary, Jerzy K. 1 Baksalary, Oskar Maria 1 Bandyopadhyay, Pradipta 1 Bargetz, Christian 1 Bayraktar, Erhan 1 Beer, Gerald Alan 1 Berdysev, V. I. 1 Berens, Hubert Anton 1 Bhatia, Rajendra 1 Bist, Vikas 1 Blatt, Hans-Peter 1 Borwein, Jonathan Michael 1 Bouboulis, Pantelis 1 Brown, A. H. O. 1 Brown, Alan L. 1 Brunet, Michael 1 Chen, Te-Hsuan 1 Cheng, Sui Sun 1 Dalla, Leoni 1 Davidson, Fordyce A. 1 DeVore, Ronald A. 1 Dunham, Charles B. 1 Durier, Roland 1 Eftekhari, Noha 1 El-Abyad, Abdelwahab M. 1 El-Hamouly, Hassan M. 1 Fischer, Thomas 1 Fletcher, James 1 Franz, Uwe 1 Garkavi, Alexandr L’vovich 1 Geremia, Raymond 1 González Ortiz, Manuel 1 Grigoryan, Yu. I. 1 Gritzmann, Peter 1 Gross, Jürgen 1 Gudder, Stan 1 Guo, Ruchi 1 Hansen, Frank-Peter 1 Hettich, Rainer 1 Hiai, Fumio 1 Huang, Yu-Jui 1 Hudzik, Henryk 1 Huotari, Robert 1 Jerome, Joseph W. 1 Jongen, Hubertus Th. 1 Jourani, Abderrahim 1 Kenderov, Petar Stojanov 1 Kim, Panki 1 Kisielewicz, Andrzej Piotr 1 Kitover, Arkady K. 1 Klee, Victor LaRue 1 Kohlenbach, Ulrich Wilhelm 1 Kołodziejczyk, Danuta 1 Kowalewski, Wojciech 1 Krämer, Patrick 1 Kristensson, Gerhard ...and 83 more Authors
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#### Cited in 69 Serials

 42 Journal of Approximation Theory 13 Journal of Mathematical Analysis and Applications 11 Mathematical Notes 7 Linear Algebra and its Applications 5 Bulletin of the Australian Mathematical Society 4 Journal of Functional Analysis 4 Journal of Mathematical Sciences (New York) 3 Proceedings of the American Mathematical Society 3 Topology and its Applications 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Mathematische Annalen 2 Numerical Functional Analysis and Optimization 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Quaestiones Mathematicae 2 Transactions of the American Mathematical Society 2 Sbornik: Mathematics 1 Analysis Mathematica 1 Lithuanian Mathematical Journal 1 Linear and Multilinear Algebra 1 Moscow University Mathematics Bulletin 1 Periodica Mathematica Hungarica 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Calcolo 1 Functional Analysis and its Applications 1 Fuzzy Sets and Systems 1 Journal of Computational and Applied Mathematics 1 Mathematische Zeitschrift 1 Meccanica 1 Numerische Mathematik 1 Tohoku Mathematical Journal. Second Series 1 Zeitschrift für Analysis und ihre Anwendungen 1 Insurance Mathematics & Economics 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Optimization 1 Constructive Approximation 1 Discrete & Computational Geometry 1 Annals of Operations Research 1 The Annals of Applied Probability 1 European Journal of Operational Research 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Archive of Applied Mechanics 1 International Journal of Robust and Nonlinear Control 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Set-Valued Analysis 1 Georgian Mathematical Journal 1 Journal of Convex Analysis 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Abstract and Applied Analysis 1 Positivity 1 Journal of Dynamical and Control Systems 1 Journal of the Australian Mathematical Society 1 Mediterranean Journal of Mathematics 1 Bulletin of the American Mathematical Society 1 Proceedings of the Steklov Institute of Mathematics 1 Optimization Letters 1 Banach Journal of Mathematical Analysis 1 Science China. Mathematics 1 Eurasian Mathematical Journal 1 Journal of Complex Analysis 1 Advances in Operator Theory 1 Communications on Applied Mathematics and Computation 1 SN Partial Differential Equations and Applications
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#### Cited in 30 Fields

 82 Approximations and expansions (41-XX) 43 Functional analysis (46-XX) 24 Operator theory (47-XX) 18 General topology (54-XX) 9 Numerical analysis (65-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 6 Operations research, mathematical programming (90-XX) 5 Real functions (26-XX) 5 Ordinary differential equations (34-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Convex and discrete geometry (52-XX) 4 Partial differential equations (35-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Measure and integration (28-XX) 3 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX)