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Deville, Robert

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Author ID: deville.robert Recent zbMATH articles by "Deville, Robert"
Published as: Deville, R.; Deville, Robert
External Links: MGP
Documents Indexed: 72 Publications since 1984, including 2 Books

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 772 times in 582 Documents Cited by Year
Smoothness and renormings in Banach spaces. Zbl 0782.46019
Deville, Robert; Godefroy, Gilles; Zizler, Václav
429
1993
Smooth bump functions and geometry of Banach spaces. Zbl 0792.46007
Deville, R.; Godefroy, G.; Zizler, V.
38
1993
A smooth variational principle with applications to Hamilton-Jacobi equations in infinite dimensions. Zbl 0774.49021
Deville, Robert; Godefroy, Gilles; Zizler, Vaclav
38
1993
Some applications of projective resolutions of identity. Zbl 0798.46008
Deville, Robert; Godefroy, Gilles
30
1993
Analytic and polyhedral approximation of convex bodies in separable polyhedral Banach spaces. Zbl 0920.46011
Deville, Robert; Fonf, Vladimir; Hájek, Petr
26
1998
Porosity of ill-posed problems. Zbl 0956.46015
Deville, Robert; Revalski, Julian P.
14
2000
Farthest points in \(W^*\)-compact sets. Zbl 0656.46012
Deville, R.; Zizler, V. E.
14
1988
The three space problem for smooth partitions of unity and \(C(K)\) spaces. Zbl 0699.46009
Deville, R.; Godefroy, G.; Zizler, V. E.
12
1990
Geometrical implications of the existence of very smooth bump functions in Banach spaces. Zbl 0691.46009
Deville, Robert
11
1989
James’ theorem fails for starlike bodies. Zbl 0983.46016
Azagra, D.; Deville, R.
10
2001
Problèmes de renormages. (Renorming problems). Zbl 0607.46014
Deville, Robert
10
1986
Integration in Hilbert generated Banach spaces. Zbl 1216.46016
Deville, Robert; Rodríguez, José
9
2010
Infinite games, Banach space geometry and the eikonal equation. Zbl 1163.91007
Deville, R.; Matheron, É.
9
2007
The viscosity subdifferential of the sum of two functions in Banach spaces. I: First order case. Zbl 0935.49011
El Haddad, E.; Deville, R.
9
1996
Analytic and \(C^ k\) approximations of norms in separable Banach spaces. Zbl 0857.46008
Deville, Robert; Fonf, Vladimir; Hájek, Petr
8
1996
On the range of the derivatives of a smooth function between Banach spaces. Zbl 1034.46039
Azagra, D.; Jiménez-Sevilla, M.; Deville, R.
7
2003
A dual characterisation of the existence of small combinations of slices. Zbl 0636.46015
Deville, Robert
7
1988
Un théorème de transfert pour la propriété des boules. (A transfer theorem for the ball property). Zbl 0591.46009
Deville, Robert
7
1987
Self-contracted curves in Riemannian manifolds. Zbl 1376.53073
Daniilidis, Aris; Deville, Robert; Durand-Cartagena, Estibalitz; Rifford, Ludovic
6
2018
Smooth variational principles with constraints. Zbl 0911.49013
Deville, Robert; Ivanov, Milen
5
1997
The subdifferential of the sum of two functions in Banach spaces. II: Second order case. Zbl 0872.58010
Deville, Robert; El Haddad, El Mahjoub
5
1995
Stability of subdifferentials of nonconvex functions in Banach spaces. Zbl 0803.49016
Deville, Robert
5
1994
A general mountain pass principle for non differentiable functionals. Zbl 0783.49003
Choulli, M.; Deville, R.; Rhandi, A.
5
1992
Point convergence and uniform convergence on a compact space. Zbl 0759.54002
Deville, Robert
5
1989
On the range of the derivative of Gâteaux-smooth functions on separable Banach spaces. Zbl 1073.46035
Deville, Robert; Hájek, Petr
4
2005
Pyramidal vectors and smooth functions on Banach spaces. Zbl 0955.46008
Deville, R.; Matheron, E.
4
2000
Smooth variational principles and non-smooth analysis in Banach spaces. Zbl 0952.49016
Deville, Robert
4
1999
Renormings of \(L_p(L_q)\). Zbl 0939.46005
Deville, R.; Gonzalo, R.; Jaramillo, J. A.
4
1999
Almost classical solutions of Hamilton-Jacobi equations. Zbl 1161.26005
Deville, Robert; Jaramillo, Jesús A.
3
2008
Smooth noncompact operators from \(C(K)\), \(K\) scattered. Zbl 1140.47020
Deville, R.; Hájek, P.
3
2007
Subdifferential Rolle’s and mean value inequality theorems. Zbl 0894.49008
Azagra, D.; Deville, R.
3
1997
Un principe variationnel utilisant des fonctions bosses. (A variational principle using bump functions). Zbl 0728.49009
Deville, Robert; Godefroy, Gilles; Zizler, Vaclav
3
1991
Differentiability of convex functions and the convex point of continuity property in Banach spaces. Zbl 0654.46021
Deville, R.; Godefroy, G.; Hare, D. E. G.; Zizler, V.
3
1987
Metric and geometric relaxations of self-contracted curves. Zbl 1420.53005
Daniilidis, Aris; Deville, Robert; Durand-Cartagena, Estibalitz
2
2019
Perturbed minimization principles and applications. Zbl 1040.46011
Deville, Robert; Ghoussoub, Nassif
2
2001
Vector-valued perturbed minimization principles. Zbl 0968.46016
Deville, Robert; Finet, Catherine
2
2000
A characterization of \(C^{\infty}\)-smooth Banach spaces. Zbl 0661.46013
Deville, Robert
2
1990
Parties faiblement de Baire dans les espaces de Banach. Applications à la dentabilité et à l’unicité de certains préduaux. (Subsets of Banach spaces which are Baire for the weak topology. Applications). Zbl 0561.46008
Deville, Robert
2
1984
Normal tilings of a Banach space and its ball. Zbl 1450.46009
Deville, Robert; García-Bravo, Miguel
1
2020
A characterization of the Radon-Nikodym property. Zbl 1306.46010
Deville, Robert; Madiedo, Óscar
1
2013
A parametric variational principle and residuality. Zbl 1162.49005
Deville, Robert; Procházka, Antonín
1
2009
Strongly sequentially continuous functions. Zbl 1027.46018
Borichev, A.; Deville, R.; Matheron, E.
1
2001
An extension of Simons’ inequality and applications. Zbl 0993.46003
Deville, Robert; Finet, Catherine
1
2001
A mean value theorem for non differentiable mappings in Banach spaces. Zbl 0817.49014
Deville, Robert
1
1995
Strong solutions of evolution equations governed by m-accretive operators and the Radon-Nikodym property. Zbl 0729.47049
Deville, Robert
1
1991
New variational principles. Zbl 0774.49010
Deville, Robert
1
1991
A note on cotype of smooth spaces. Zbl 0673.46004
Deville, Robert; Zizler, Vaclav E.
1
1988
Phelps spaces and finite dimensional decompositions. Zbl 0629.46014
Deville, R.; Godefroy, G.; Hare, D. E. G.; Zizler, V.
1
1988
Existence of farthest points in a compact convex set. Zbl 0814.46007
Deville, Robert
1
1988
Espaces de Baire et espaces de Namioka. Zbl 0576.54013
Deville, Robert
1
1984
Normal tilings of a Banach space and its ball. Zbl 1450.46009
Deville, Robert; García-Bravo, Miguel
1
2020
Metric and geometric relaxations of self-contracted curves. Zbl 1420.53005
Daniilidis, Aris; Deville, Robert; Durand-Cartagena, Estibalitz
2
2019
Self-contracted curves in Riemannian manifolds. Zbl 1376.53073
Daniilidis, Aris; Deville, Robert; Durand-Cartagena, Estibalitz; Rifford, Ludovic
6
2018
A characterization of the Radon-Nikodym property. Zbl 1306.46010
Deville, Robert; Madiedo, Óscar
1
2013
Integration in Hilbert generated Banach spaces. Zbl 1216.46016
Deville, Robert; Rodríguez, José
9
2010
A parametric variational principle and residuality. Zbl 1162.49005
Deville, Robert; Procházka, Antonín
1
2009
Almost classical solutions of Hamilton-Jacobi equations. Zbl 1161.26005
Deville, Robert; Jaramillo, Jesús A.
3
2008
Infinite games, Banach space geometry and the eikonal equation. Zbl 1163.91007
Deville, R.; Matheron, É.
9
2007
Smooth noncompact operators from \(C(K)\), \(K\) scattered. Zbl 1140.47020
Deville, R.; Hájek, P.
3
2007
On the range of the derivative of Gâteaux-smooth functions on separable Banach spaces. Zbl 1073.46035
Deville, Robert; Hájek, Petr
4
2005
On the range of the derivatives of a smooth function between Banach spaces. Zbl 1034.46039
Azagra, D.; Jiménez-Sevilla, M.; Deville, R.
7
2003
James’ theorem fails for starlike bodies. Zbl 0983.46016
Azagra, D.; Deville, R.
10
2001
Perturbed minimization principles and applications. Zbl 1040.46011
Deville, Robert; Ghoussoub, Nassif
2
2001
Strongly sequentially continuous functions. Zbl 1027.46018
Borichev, A.; Deville, R.; Matheron, E.
1
2001
An extension of Simons’ inequality and applications. Zbl 0993.46003
Deville, Robert; Finet, Catherine
1
2001
Porosity of ill-posed problems. Zbl 0956.46015
Deville, Robert; Revalski, Julian P.
14
2000
Pyramidal vectors and smooth functions on Banach spaces. Zbl 0955.46008
Deville, R.; Matheron, E.
4
2000
Vector-valued perturbed minimization principles. Zbl 0968.46016
Deville, Robert; Finet, Catherine
2
2000
Smooth variational principles and non-smooth analysis in Banach spaces. Zbl 0952.49016
Deville, Robert
4
1999
Renormings of \(L_p(L_q)\). Zbl 0939.46005
Deville, R.; Gonzalo, R.; Jaramillo, J. A.
4
1999
Analytic and polyhedral approximation of convex bodies in separable polyhedral Banach spaces. Zbl 0920.46011
Deville, Robert; Fonf, Vladimir; Hájek, Petr
26
1998
Smooth variational principles with constraints. Zbl 0911.49013
Deville, Robert; Ivanov, Milen
5
1997
Subdifferential Rolle’s and mean value inequality theorems. Zbl 0894.49008
Azagra, D.; Deville, R.
3
1997
The viscosity subdifferential of the sum of two functions in Banach spaces. I: First order case. Zbl 0935.49011
El Haddad, E.; Deville, R.
9
1996
Analytic and \(C^ k\) approximations of norms in separable Banach spaces. Zbl 0857.46008
Deville, Robert; Fonf, Vladimir; Hájek, Petr
8
1996
The subdifferential of the sum of two functions in Banach spaces. II: Second order case. Zbl 0872.58010
Deville, Robert; El Haddad, El Mahjoub
5
1995
A mean value theorem for non differentiable mappings in Banach spaces. Zbl 0817.49014
Deville, Robert
1
1995
Stability of subdifferentials of nonconvex functions in Banach spaces. Zbl 0803.49016
Deville, Robert
5
1994
Smoothness and renormings in Banach spaces. Zbl 0782.46019
Deville, Robert; Godefroy, Gilles; Zizler, Václav
429
1993
Smooth bump functions and geometry of Banach spaces. Zbl 0792.46007
Deville, R.; Godefroy, G.; Zizler, V.
38
1993
A smooth variational principle with applications to Hamilton-Jacobi equations in infinite dimensions. Zbl 0774.49021
Deville, Robert; Godefroy, Gilles; Zizler, Vaclav
38
1993
Some applications of projective resolutions of identity. Zbl 0798.46008
Deville, Robert; Godefroy, Gilles
30
1993
A general mountain pass principle for non differentiable functionals. Zbl 0783.49003
Choulli, M.; Deville, R.; Rhandi, A.
5
1992
Un principe variationnel utilisant des fonctions bosses. (A variational principle using bump functions). Zbl 0728.49009
Deville, Robert; Godefroy, Gilles; Zizler, Vaclav
3
1991
Strong solutions of evolution equations governed by m-accretive operators and the Radon-Nikodym property. Zbl 0729.47049
Deville, Robert
1
1991
New variational principles. Zbl 0774.49010
Deville, Robert
1
1991
The three space problem for smooth partitions of unity and \(C(K)\) spaces. Zbl 0699.46009
Deville, R.; Godefroy, G.; Zizler, V. E.
12
1990
A characterization of \(C^{\infty}\)-smooth Banach spaces. Zbl 0661.46013
Deville, Robert
2
1990
Geometrical implications of the existence of very smooth bump functions in Banach spaces. Zbl 0691.46009
Deville, Robert
11
1989
Point convergence and uniform convergence on a compact space. Zbl 0759.54002
Deville, Robert
5
1989
Farthest points in \(W^*\)-compact sets. Zbl 0656.46012
Deville, R.; Zizler, V. E.
14
1988
A dual characterisation of the existence of small combinations of slices. Zbl 0636.46015
Deville, Robert
7
1988
A note on cotype of smooth spaces. Zbl 0673.46004
Deville, Robert; Zizler, Vaclav E.
1
1988
Phelps spaces and finite dimensional decompositions. Zbl 0629.46014
Deville, R.; Godefroy, G.; Hare, D. E. G.; Zizler, V.
1
1988
Existence of farthest points in a compact convex set. Zbl 0814.46007
Deville, Robert
1
1988
Un théorème de transfert pour la propriété des boules. (A transfer theorem for the ball property). Zbl 0591.46009
Deville, Robert
7
1987
Differentiability of convex functions and the convex point of continuity property in Banach spaces. Zbl 0654.46021
Deville, R.; Godefroy, G.; Hare, D. E. G.; Zizler, V.
3
1987
Problèmes de renormages. (Renorming problems). Zbl 0607.46014
Deville, Robert
10
1986
Parties faiblement de Baire dans les espaces de Banach. Applications à la dentabilité et à l’unicité de certains préduaux. (Subsets of Banach spaces which are Baire for the weak topology. Applications). Zbl 0561.46008
Deville, Robert
2
1984
Espaces de Baire et espaces de Namioka. Zbl 0576.54013
Deville, Robert
1
1984
all top 5

Cited by 511 Authors

39 Hájek, Petr
21 Zizler, Vaclav E.
19 Azagra, Daniel
19 Deville, Robert
16 Montesinos Santalucia, Vicente
15 Jiménez-Sevilla, Mar
14 Troyanski, Stanimir L.
13 Mordukhovich, Boris S.
13 Rodríguez Ruiz, José
12 Fabian, Martin
11 Becerra Guerrero, Julio
11 Cheng, Lixin
11 Johanis, Michal
11 Martín Suarez, Miguel
10 Borwein, Jonathan Michael
10 Bounkhel, Messaoud
10 Fabian, Marián J.
10 Godefroy, Gilles
10 Rueda Zoca, Abraham
10 Smith, Richard James
9 Fry, Robb Charles
9 Guirao, Antonio José
9 Jaramillo, Jesús Angel
9 Moreno, José-Pedro
9 Vanderwerff, Jon D.
9 Zaslavski, Alexander Yakovlevich
8 Kalenda, Ondřej F. K.
8 Lajara, Sebastián
8 López-Pérez, Ginés
8 Orihuela, José
7 Cascales, Bernardo
7 Giles, John R.
7 Raja, Muhammad Asif Zahoor
6 Bachir, Mohammed
6 Ferrer, Jesús
6 Ferrera, Juan
6 Fonf, Vladimir P.
6 Haydon, Richard G.
6 Kubiś, Wiesław
6 Namioka, Isaac
6 Procházka, Antonín
6 Sánchez-González, Luis
6 Thibault, Lionel
6 Zlatanov, Boyan
5 Jourani, Abderrahim
5 Kadets, Vladimir M.
5 Lancien, Gilles
5 Penot, Jean-Paul
5 Rychtár, Jan
5 Shao, Yongheng
5 Zagrodny, Dariusz
4 Aussel, Didier
4 Bandyopadhyay, Pradipta
4 Castillo, Jesús M. F.
4 Cepedello Boiso, Manuel
4 de la Llave, Rafael
4 Dilworth, Stephen J.
4 Duda, Jakub
4 Ferenczi, Valentin
4 Georgiev, Pando Grigorov
4 Kalton, Nigel John
4 Kutzarova, Denka N.
4 Langemets, Johann
4 López-Mesas, Fernando
4 Merí, Javier
4 Pallarés, Antonio J.
4 Rao, T. S. S. R. K.
4 Rodríguez Palacios, Angel
3 Abrahamsen, Trond Arnold
3 Aviles Lopez, Antonio
3 Cibulka, Radek
3 Cúth, Marek
3 Domínguez Benavides, T.
3 Eberhard, Andrew C.
3 Finet, Catherine
3 García-Lirola, Luis Carlos
3 Garcia-Pacheco, Francisco Javier
3 García, Domingo
3 Gonzalo, Raquel
3 Granero, Antonio S.
3 Ioffe, Alexander Davidovich
3 Ivanov, Milen
3 Johnson, William Buhmann
3 Kamińska, Anna
3 Kaufman, Robert P.
3 Kazimierski, Kamil S.
3 Keener, Lee L.
3 Kenderov, Petar Stojanov
3 Lassonde, Marc
3 Lee, Han Ju
3 Lemenant, Antoine
3 Lima, Vegard
3 Lin, Bor-Luh
3 Lindenstrauss, Joram
3 Maaden, Abdelhakim
3 Maestre, Manuel
3 McLaughlin, David P.
3 Molto, Anibal
3 Ostrovskii, Mikhail Iosifovich
3 Papini, Pier Luigi
...and 411 more Authors
all top 5

Cited in 112 Serials

98 Journal of Mathematical Analysis and Applications
55 Journal of Functional Analysis
42 Proceedings of the American Mathematical Society
32 Israel Journal of Mathematics
27 Bulletin of the Australian Mathematical Society
27 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
22 Topology and its Applications
17 Rocky Mountain Journal of Mathematics
14 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
12 Transactions of the American Mathematical Society
9 Mathematika
9 Set-Valued Analysis
8 Acta Mathematica Sinica. English Series
7 Advances in Mathematics
7 Journal of Approximation Theory
7 Journal of Optimization Theory and Applications
7 Positivity
7 Nonlinear Analysis. Theory, Methods & Applications
6 Czechoslovak Mathematical Journal
6 Mathematische Annalen
6 Mathematische Zeitschrift
6 Numerical Functional Analysis and Optimization
6 Set-Valued and Variational Analysis
5 Journal of Function Spaces
4 Studia Mathematica
4 Archiv der Mathematik
4 Journal of Differential Equations
4 The Journal of Geometric Analysis
4 Banach Journal of Mathematical Analysis
3 Arkiv för Matematik
3 Illinois Journal of Mathematics
3 Journal of the American Mathematical Society
3 Journal of Global Optimization
3 Indagationes Mathematicae. New Series
3 Journal of Convex Analysis
3 Central European Journal of Mathematics
3 Mediterranean Journal of Mathematics
3 Journal of Fixed Point Theory and Applications
2 Annales de l’Institut Fourier
2 Bulletin of the London Mathematical Society
2 Duke Mathematical Journal
2 International Journal of Mathematics and Mathematical Sciences
2 Monatshefte für Mathematik
2 Quaestiones Mathematicae
2 Acta Mathematica Hungarica
2 Annals of Pure and Applied Logic
2 Revista Matemática Iberoamericana
2 Linear Algebra and its Applications
2 Mathematical Programming. Series A. Series B
2 Top
2 Acta et Commentationes Universitatis Tartuensis de Mathematica
2 Nonlinear Analysis. Modelling and Control
2 Journal of the Australian Mathematical Society
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of the Institute of Mathematics of Jussieu
2 Fixed Point Theory and Applications
2 Optimization Letters
1 Applicable Analysis
1 Linear and Multilinear Algebra
1 Mathematical Notes
1 Russian Mathematical Surveys
1 Ukrainian Mathematical Journal
1 Acta Mathematica Vietnamica
1 Applied Mathematics and Computation
1 Demonstratio Mathematica
1 Dissertationes Mathematicae
1 Functiones et Approximatio. Commentarii Mathematici
1 Glasgow Mathematical Journal
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Mathematica Scandinavica
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Pacific Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Theoretical Computer Science
1 Zeitschrift für Analysis und ihre Anwendungen
1 Acta Applicandae Mathematicae
1 Optimization
1 Constructive Approximation
1 Journal of Theoretical Probability
1 Mathematica Bohemica
1 Geometric and Functional Analysis. GAFA
1 Aequationes Mathematicae
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 Acta Mathematica Sinica. New Series
1 Journal of Dynamics and Differential Equations
1 SIAM Journal on Optimization
1 Cybernetics and Systems Analysis
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Computational Optimization and Applications
1 Test
1 Calculus of Variations and Partial Differential Equations
1 St. Petersburg Mathematical Journal
1 Bulletin des Sciences Mathématiques
1 The Bulletin of Symbolic Logic
...and 12 more Serials
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Cited in 39 Fields

420 Functional analysis (46-XX)
122 Calculus of variations and optimal control; optimization (49-XX)
86 General topology (54-XX)
69 Operator theory (47-XX)
43 Global analysis, analysis on manifolds (58-XX)
40 Real functions (26-XX)
33 Operations research, mathematical programming (90-XX)
32 Approximations and expansions (41-XX)
29 Convex and discrete geometry (52-XX)
20 Measure and integration (28-XX)
16 Partial differential equations (35-XX)
12 Mathematical logic and foundations (03-XX)
12 Ordinary differential equations (34-XX)
8 Dynamical systems and ergodic theory (37-XX)
5 Topological groups, Lie groups (22-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Probability theory and stochastic processes (60-XX)
5 Numerical analysis (65-XX)
4 Differential geometry (53-XX)
3 General and overarching topics; collections (00-XX)
3 Combinatorics (05-XX)
3 Group theory and generalizations (20-XX)
3 Abstract harmonic analysis (43-XX)
3 Manifolds and cell complexes (57-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Functions of a complex variable (30-XX)
2 Computer science (68-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Systems theory; control (93-XX)
1 Algebraic geometry (14-XX)
1 Category theory; homological algebra (18-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral equations (45-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Mechanics of deformable solids (74-XX)

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