Edit Profile (opens in new tab) Franchetti, Carlo Compute Distance To: Compute Author ID: franchetti.carlo Published as: Franchetti, C.; Franchetti, Carlo Documents Indexed: 65 Publications since 1967 Co-Authors: 22 Co-Authors with 40 Joint Publications 574 Co-Co-Authors all top 5 Co-Authors 25 single-authored 7 Cheney, Elliott Ward jun. 7 Semënov, Evgeniĭ Mikhaĭlovich 6 Baronti, Marco 3 Papini, Pier Luigi 2 Amir, Dan 2 Casini, Emanuele 2 Furi, Massimo 2 Holland, Susan M. 2 Light, William A. 2 Singer, Ivan 1 Appell, Jürgen M. 1 Chalmers, Bruce Longworthy 1 Chui, Charles Kam-tai 1 Dodds, Peter G. 1 Fabry, Christian 1 Giaquinta, Mariano 1 Payá, Rafael 1 Roversi, S. 1 Sukochev, Fedor Anatol’evich 1 Tiberio, Umberto 1 Veselý, Libor 1 Votruba, G. F. all top 5 Serials 4 Journal of Mathematical Analysis and Applications 4 Journal of Approximation Theory 4 Bollettino della Unione Matematica Italiana. Series IV 3 Revue Roumaine de Mathématiques Pures et Appliquées 3 Bollettino della Unione Matemàtica Italiana. Serie VII. B 3 Bollettino della Unione Matematica Italiana. Series V. B 2 Bulletin of the Australian Mathematical Society 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 Bollettino della Unione Matematica Italiana. Series III 1 Analysis Mathematica 1 Israel Journal of Mathematics 1 Annales de la Faculté des Sciences. Section Mathématique-Physique 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Archiv der Mathematik 1 Duke Mathematical Journal 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Quaestiones Mathematicae 1 Rivista di Matematica della Università di Parma. Serie IV 1 Transactions of the American Mathematical Society 1 Ciencia y Tecnología 1 Note di Matematica 1 Aequationes Mathematicae 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Bollettino della Unione Matemàtica Italiana. Serie VI. A 1 Russian Mathematics 1 St. Petersburg Mathematical Journal 1 Doklady Mathematics 1 Rivista di Matematica della Universitá di Parma, II. Serie 1 Nonlinear Analysis. Theory, Methods & Applications 1 Bollettino dell’Unione Matematica Italiana all top 5 Fields 39 Functional analysis (46-XX) 28 Approximations and expansions (41-XX) 4 Operator theory (47-XX) 3 Convex and discrete geometry (52-XX) 2 Ordinary differential equations (34-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 234 times in 195 Documents Cited by ▼ Year ▼ Minimal projections in \(\mathcal L_1\)-spaces. Zbl 0335.41021Franchetti, C.; Cheney, E. W. 25 1976 Banach spaces with strongly subdifferentiable norm. Zbl 0779.46021Franchetti, Carlo; Paya, Rafael 24 1993 Some characteristic properties of real Hilbert spaces. Zbl 0245.46024Franchetti, Carlo; Furi, Massimo 24 1972 On the von Neumann alternating algorithm in Hilbert space. Zbl 0617.65049Franchetti, C.; Light, W. 17 1986 Projections onto hyperplanes in Banach spaces. Zbl 0516.41028Franchetti, C. 14 1983 The alternating algorithm in uniformly convex spaces. Zbl 0561.41030Franchetti, C.; Light, W. 12 1984 The norm of the minimal projection onto hyperplanes in \(L^ p[0,1]\) and the radial constant. Zbl 0739.46014Franchetti, Carlo 9 1990 The radius ratio and convexity properties in normed linear spaces. Zbl 0543.46007Amir, D.; Franchetti, C. 9 1984 Lipschitz maps and the geometry of the unit ball in normed spaces. Zbl 0564.46014Franchetti, C. 8 1986 Minimal projections in tensor-product spaces. Zbl 0542.41029Franchetti, C.; Cheney, E. W. 8 1984 Convergenza di operatori in sottospazi dello spazio \(C(Q)\). Zbl 0199.44403Franchetti, C. 7 1970 The embedding of proximinal sets. Zbl 0604.41034Franchetti, Carlo; Cheney, E. W. 6 1986 Best approximation problems for multivariate functions. Zbl 0485.41025Franchetti, C.; Cheney, E. W. 6 1981 Relationship between the Jung constant and a certain projection constant in Banach spaces. Zbl 0367.46016Franchetti, Carlo 5 1977 Deviation and farthest points in normed linear spaces. Zbl 0409.41014Franchetti, Carlo; Singer, Ivan 5 1979 The retraction constant in some Banach spaces. Zbl 1021.47034Baronti, Marco; Casini, Emanuele; Franchetti, Carlo 5 2003 Nonlinear equations with growth restrictions on the nonlinear term. Zbl 0326.47060Fabry, C.; Franchetti, C. 4 1976 Perimeter, Macphail number and projection constant in Minkowski planes. Zbl 0345.52003Franchetti, C.; Votruba, G. F. 4 1976 Approximation properties of sets with bounded complements. Zbl 0479.41032Franchetti, C.; Papini, P. L. 4 1981 Lower bounds for the norms of projections with small kernels. Zbl 0746.41033Franchetti, Carlo 3 1992 Lipschitz maps on the unit ball of normed spaces. Zbl 0576.46007Franchetti, Carlo 3 1985 Estimates for the Jung constant in Banach lattices. Zbl 0977.46004Appell, Jürgen; Franchetti, Carlo; Semenov, Evgenij M. 3 2000 A note on characterizations of Hilbert spaces. Zbl 0527.46017Amir, D.; Franchetti, C. 3 1983 On the self-length of two-dimensional Banach spaces. Zbl 0854.46012Chalmers, B.; Franchetti, C.; Giaquinta, M. 3 1996 Best approximation by elements of caverns in normed linear spaces. Zbl 0436.41020Franchetti, C.; Singer, Ivan 3 1980 The geometry of hypercircles in Banach spaces. Zbl 0676.46010Franchetti, C.; Roversi, S. 2 1988 Orthogonal projections in spaces of continuous functions. Zbl 0394.41013Franchetti, C.; Cheney, E. W. 2 1978 On the Jung constant in Banach spaces with a symmetric norm. Zbl 0793.41028Franchetti, Carlo 2 1991 On the alternating approximation method. Zbl 0267.41006Franchetti, Carlo 2 1973 The size of a Minkowski ellipse that contains the unit ball. Zbl 1228.51005Baronti, Marco; Casini, Emanuele; Franchetti, Carlo 2 2012 Approximation with subspaces of finite codimension. Zbl 0655.41035Franchetti, Carlo 1 1986 A numerical evaluation of projection constants. Zbl 0667.15021Franchetti, C.; Tiberio, U. 1 1988 Restricted centers and best approximation in C(Q). Zbl 0359.41008Franchetti, C. 1 1977 Some metric properties of hyperplanes in real normed spaces. Zbl 0377.46006Franchetti, C.; Papini, P. L. 1 1977 Two extensions of the alternating algorithm of von Neumann. Zbl 0549.41020Franchetti, C.; Holland, S. M. 1 1983 A Hilbert space characterization among function spaces. Zbl 0863.46018Franchetti, C.; Semenov, E. M. 1 1995 Geometric properties, related to the Jung constant, of rearrangement-invariant spaces. Zbl 0951.46007Semenov, E. M.; Franchetti, C. 1 1998 The Jung constant in rearrangement invariant spaces. Zbl 0861.46016Franchetti, Carlo; Semenov, Evgueni 1 1996 Disuguaglianza e teoremi del tipo di Korovkin sugli operatori positivi in \(C(0,1)\). Zbl 0191.13104Franchetti, C. 1 1969 Renorming, proximinal subspaces, and quotients in Banach spaces. Zbl 0779.46018Franchetti, C.; Veselý, L. 1 1993 The size of a Minkowski ellipse that contains the unit ball. Zbl 1228.51005Baronti, Marco; Casini, Emanuele; Franchetti, Carlo 2 2012 The retraction constant in some Banach spaces. Zbl 1021.47034Baronti, Marco; Casini, Emanuele; Franchetti, Carlo 5 2003 Estimates for the Jung constant in Banach lattices. Zbl 0977.46004Appell, Jürgen; Franchetti, Carlo; Semenov, Evgenij M. 3 2000 Geometric properties, related to the Jung constant, of rearrangement-invariant spaces. Zbl 0951.46007Semenov, E. M.; Franchetti, C. 1 1998 On the self-length of two-dimensional Banach spaces. Zbl 0854.46012Chalmers, B.; Franchetti, C.; Giaquinta, M. 3 1996 The Jung constant in rearrangement invariant spaces. Zbl 0861.46016Franchetti, Carlo; Semenov, Evgueni 1 1996 A Hilbert space characterization among function spaces. Zbl 0863.46018Franchetti, C.; Semenov, E. M. 1 1995 Banach spaces with strongly subdifferentiable norm. Zbl 0779.46021Franchetti, Carlo; Paya, Rafael 24 1993 Renorming, proximinal subspaces, and quotients in Banach spaces. Zbl 0779.46018Franchetti, C.; Veselý, L. 1 1993 Lower bounds for the norms of projections with small kernels. Zbl 0746.41033Franchetti, Carlo 3 1992 On the Jung constant in Banach spaces with a symmetric norm. Zbl 0793.41028Franchetti, Carlo 2 1991 The norm of the minimal projection onto hyperplanes in \(L^ p[0,1]\) and the radial constant. Zbl 0739.46014Franchetti, Carlo 9 1990 The geometry of hypercircles in Banach spaces. Zbl 0676.46010Franchetti, C.; Roversi, S. 2 1988 A numerical evaluation of projection constants. Zbl 0667.15021Franchetti, C.; Tiberio, U. 1 1988 On the von Neumann alternating algorithm in Hilbert space. Zbl 0617.65049Franchetti, C.; Light, W. 17 1986 Lipschitz maps and the geometry of the unit ball in normed spaces. Zbl 0564.46014Franchetti, C. 8 1986 The embedding of proximinal sets. Zbl 0604.41034Franchetti, Carlo; Cheney, E. W. 6 1986 Approximation with subspaces of finite codimension. Zbl 0655.41035Franchetti, Carlo 1 1986 Lipschitz maps on the unit ball of normed spaces. Zbl 0576.46007Franchetti, Carlo 3 1985 The alternating algorithm in uniformly convex spaces. Zbl 0561.41030Franchetti, C.; Light, W. 12 1984 The radius ratio and convexity properties in normed linear spaces. Zbl 0543.46007Amir, D.; Franchetti, C. 9 1984 Minimal projections in tensor-product spaces. Zbl 0542.41029Franchetti, C.; Cheney, E. W. 8 1984 Projections onto hyperplanes in Banach spaces. Zbl 0516.41028Franchetti, C. 14 1983 A note on characterizations of Hilbert spaces. Zbl 0527.46017Amir, D.; Franchetti, C. 3 1983 Two extensions of the alternating algorithm of von Neumann. Zbl 0549.41020Franchetti, C.; Holland, S. M. 1 1983 Best approximation problems for multivariate functions. Zbl 0485.41025Franchetti, C.; Cheney, E. W. 6 1981 Approximation properties of sets with bounded complements. Zbl 0479.41032Franchetti, C.; Papini, P. L. 4 1981 Best approximation by elements of caverns in normed linear spaces. Zbl 0436.41020Franchetti, C.; Singer, Ivan 3 1980 Deviation and farthest points in normed linear spaces. Zbl 0409.41014Franchetti, Carlo; Singer, Ivan 5 1979 Orthogonal projections in spaces of continuous functions. Zbl 0394.41013Franchetti, C.; Cheney, E. W. 2 1978 Relationship between the Jung constant and a certain projection constant in Banach spaces. Zbl 0367.46016Franchetti, Carlo 5 1977 Restricted centers and best approximation in C(Q). Zbl 0359.41008Franchetti, C. 1 1977 Some metric properties of hyperplanes in real normed spaces. Zbl 0377.46006Franchetti, C.; Papini, P. L. 1 1977 Minimal projections in \(\mathcal L_1\)-spaces. Zbl 0335.41021Franchetti, C.; Cheney, E. W. 25 1976 Nonlinear equations with growth restrictions on the nonlinear term. Zbl 0326.47060Fabry, C.; Franchetti, C. 4 1976 Perimeter, Macphail number and projection constant in Minkowski planes. Zbl 0345.52003Franchetti, C.; Votruba, G. F. 4 1976 On the alternating approximation method. Zbl 0267.41006Franchetti, Carlo 2 1973 Some characteristic properties of real Hilbert spaces. Zbl 0245.46024Franchetti, Carlo; Furi, Massimo 24 1972 Convergenza di operatori in sottospazi dello spazio \(C(Q)\). Zbl 0199.44403Franchetti, C. 7 1970 Disuguaglianza e teoremi del tipo di Korovkin sugli operatori positivi in \(C(0,1)\). Zbl 0191.13104Franchetti, C. 1 1969 all cited Publications top 5 cited Publications all top 5 Cited by 208 Authors 15 Lewicki, Grzegorz 14 Franchetti, Carlo 8 Chalmers, Bruce Longworthy 7 Papini, Pier Luigi 6 Skrzypek, Lesław 5 Alimov, Alexey R. 5 Deutsch, Frank 5 Prophet, Michael P. 5 Shekhtman, Boris 4 Bauschke, Heinz H. 4 Hundal, Hein S. 4 Jayanarayanan, C. R. 4 Light, William A. 4 Narang, Tulsi Das 4 Reich, Simeon 4 Singer, Ivan 3 Baronti, Marco 3 Becerra Guerrero, Julio 3 Dantas, Sheldon 3 Dye, John Michael 3 Goebel, Kazimierz 3 Gupta, Sahil 3 Martini, Horst 3 Moreno, José-Pedro 3 Rao, T. S. S. R. K. 3 Semënov, Evgeniĭ Mikhaĭlovich 3 Swanepoel, Konrad J. 2 Amir, Dan 2 Bolibok, Krzysztof 2 Casini, Emanuele 2 Castejón, Alberto 2 Godini, Gliceria 2 Gong, Wanzhong 2 Haddadi, Mohammad Reza 2 Jahn, Thomas 2 Jiménez-Sevilla, Mar 2 Kim, Sun Kwang 2 Klee, Victor LaRue 2 Kozdęba, Michał 2 Lalithambigai, S. 2 Lee, Han Ju 2 Li, Wu 2 Maluta, Elisabetta 2 Martín Suarez, Miguel 2 Mazaheri, Hamid 2 Mazzitelli, Martin 2 Mohseni Moghadam, M. 2 Omari, Pierpaolo 2 Payá, Rafael 2 Rodríguez Palacios, Angel 2 Shunmugaraj, P. 2 Smarzewski, Ryszard 2 Tsar’kov, Igor’ Germanovich 2 Wolff, Manfred 2 Zanolin, Fabio 1 Abrishami Moghaddam, M. 1 Abu-Sirhan, Eyad 1 Acosta Vigil, María Dolores 1 Aksoy, Asuman Güven 1 Alber, Yakov I. 1 Altawallbeh, Zuhier 1 Appell, Jürgen M. 1 Astashkin, Sergeĭ Vladimir 1 Bakan, Andrew G. 1 Balaganskij, V. S. 1 Banaś, Józef 1 Bargetz, Christian 1 Bauer, Heinz 1 Bednov, Borislav Borisovich 1 Behling, Roger 1 Bello Cruz, Yunier Y. 1 Berckmoes, Ben 1 Besenyei, Ádám 1 Borwein, Jonathan Michael 1 Bosznay, Adam P. 1 Briec, Walter 1 Burlando, Laura 1 Butnariu, Dan 1 Castillo, Jesús M. F. 1 Centrone, Francesca 1 Chandok, Sumit 1 Chaoha, Phichet 1 Chen, Bowen 1 Cheney, Elliott Ward jun. 1 Cheng, Lixin 1 Ciaramella, Gabriele 1 Combettes, Patrick L. 1 Contreras, Manuel D. 1 Cottin, Claudia 1 Cui, Yunan 1 Dai, Duanxu 1 De Bernardi, Carlo Alberto 1 Debnath, Lokenath 1 Deregowska, Beata 1 Dong, Xiaoli 1 Dong, Yunbai 1 Dowling, Patrick N. 1 Dutta, Sudipta 1 Dye, J. 1 Fu, Yongqiang ...and 108 more Authors all top 5 Cited in 76 Serials 28 Journal of Approximation Theory 20 Journal of Mathematical Analysis and Applications 8 Numerical Functional Analysis and Optimization 8 Transactions of the American Mathematical Society 7 Journal of Functional Analysis 5 Archiv der Mathematik 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Proceedings of the American Mathematical Society 5 Linear Algebra and its Applications 5 Journal of Mathematical Sciences (New York) 4 Mathematische Annalen 4 Monatshefte für Mathematik 3 Israel Journal of Mathematics 3 Mathematical Notes 3 Rocky Mountain Journal of Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Rendiconti del Seminario Matemàtico e Fisico di Milano 3 Journal of Convex Analysis 3 Nonlinear Analysis. Theory, Methods & Applications 2 Bulletin of the Australian Mathematical Society 2 Studia Mathematica 2 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 2 Mathematische Zeitschrift 2 Numerische Mathematik 2 Results in Mathematics 2 Expositiones Mathematicae 2 Set-Valued Analysis 2 Analysis in Theory and Applications 2 Annals of Functional Analysis 2 Asia Pacific Journal of Mathematics 2 Bollettino dell’Unione Matematica Italiana 1 Analysis Mathematica 1 Computers & Mathematics with Applications 1 Moscow University Mathematics Bulletin 1 Periodica Mathematica Hungarica 1 Russian Mathematical Surveys 1 Arkiv för Matematik 1 Beiträge zur Algebra und Geometrie 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Czechoslovak Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations 1 Journal of Optimization Theory and Applications 1 Real Analysis Exchange 1 Zeitschrift für Analysis und ihre Anwendungen 1 Computer Aided Geometric Design 1 Constructive Approximation 1 Journal of Theoretical Probability 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Global Optimization 1 Numerical Algorithms 1 European Journal of Operational Research 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Acta Mathematica Sinica. New Series 1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 1 SIAM Journal on Optimization 1 Topological Methods in Nonlinear Analysis 1 Filomat 1 ETNA. Electronic Transactions on Numerical Analysis 1 Sbornik: Mathematics 1 International Transactions in Operational Research 1 Journal of Applied Analysis 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Applied Mathematics E-Notes 1 Milan Journal of Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Afrika Matematika 1 Iranian Journal of Mathematical Sciences and Informatics 1 Arabian Journal of Mathematics 1 Journal of Mahani Mathematical Research Center 1 Journal of Nonlinear Analysis and Optimization: Theory & Applications 1 International Journal of Applied and Computational Mathematics all top 5 Cited in 25 Fields 112 Functional analysis (46-XX) 88 Approximations and expansions (41-XX) 43 Operator theory (47-XX) 15 Numerical analysis (65-XX) 15 Operations research, mathematical programming (90-XX) 14 Convex and discrete geometry (52-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 General topology (54-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 3 Geometry (51-XX) 3 Probability theory and stochastic processes (60-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Biology and other natural sciences (92-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX) Citations by Year