Edit Profile (opens in new tab) Trombetta, Giulio Co-Author Distance Author ID: trombetta.giulio Published as: Trombetta, Giulio; Trombetta, G. Documents Indexed: 49 Publications since 1983 Reviewing Activity: 13 Reviews Co-Authors: 12 Co-Authors with 40 Joint Publications 150 Co-Co-Authors all top 5 Co-Authors 8 single-authored 17 Trombetta, Alessandro 16 Caponetti, Diana 8 De Pascale, Espedito 4 Lewicki, Grzegorz 3 Marino, Giuseppe 3 Tavernise, Marianna 3 Weber, Hans Josef Karl 2 Carbone, Antonio 1 Avallone, Anna 1 Calao, Vittorio 1 Costanzo, G. Damiana 1 De Bartolo, Samuele 1 Dell’Accio, Francesco 1 Lepellere, Maria Antonietta 1 Pietramala, Paolamaria all top 5 Serials 4 Jnanabha 3 Le Matematiche 3 Ricerche di Matematica 2 Bulletin of the Australian Mathematical Society 2 Mathematica Slovaca 2 Atti del Seminario Matematico e Fisico dell’Università di Modena 2 Bulletin of the Polish Academy of Sciences, Mathematics 2 Topological Methods in Nonlinear Analysis 2 Scientiae Mathematicae Japonicae 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Indian Journal of Mathematics 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Annales Societatis Mathematicae Polonae. Seria I. Commentationes Mathematicae 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Bulletin of the Korean Mathematical Society 1 Rendiconti. Scienze Matemàtiche e Applicazioni. A 1 Bollettino della Unione Matemàtica Italiana. Serie VI. C. Analisi Funzionale e Applicazioni 1 Applied Mathematics Letters 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Taiwanese Journal of Mathematics 1 Novi Sad Journal of Mathematics 1 Journal of Inequalities and Applications 1 Nonlinear Functional Analysis and Applications 1 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Banach Journal of Mathematical Analysis all top 5 Fields 41 Operator theory (47-XX) 30 Functional analysis (46-XX) 12 General topology (54-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 77 times in 40 Documents Cited by ▼ Year ▼ On approximating fixed points for nonexpansive maps. Zbl 0793.47052 Marino, Giuseppe; Trombetta, Giulio 13 1992 Optimal and one-complemented subspaces. Zbl 1147.46017 Lewicki, Grzegorz; Trombetta, Giulio 9 2008 An extension of Guo’s theorem via \(k\)-\(\psi\)-contractive retractions. Zbl 1109.47044 Caponetti, D.; Trombetta, A.; Trombetta, G. 7 2006 Proper 1-ball contractive retractions in Banach spaces of measurable functions. Zbl 1091.47043 Caponetti, D.; Trombetta, A.; Trombetta, G. 4 2005 On proper \(K\)-ball contractive retractions in the Banach space \(BC([0,\infty))\). Zbl 1095.47006 Caponetti, D.; Trombetta, G. 4 2005 The Hausdorff measure of noncompactness for balls of F-normed linear spaces and for subsets of \(L_ 0\). Zbl 0657.47050 Trombetta, Giulio; Weber, Hans 3 1986 \(K\)-set contractive retractions in spaces of continuous functions. Zbl 1058.46012 Trombetta, Giulio 3 2004 On boundary conditions for wedge operators on radial sets. Zbl 1151.47055 Caponetti, D.; Trombetta, A.; Trombetta, G. 3 2008 Measures of noncompactness in the space \(L_ 0\) and a generalization of the Arzelà-Ascoli theorem. Zbl 0753.47022 Avallone, Anna; Trombetta, Giulio 3 1991 Convexly totally bounded and strongly totally bounded sets. Solution of a problem of Idzik. Zbl 0805.47055 De Pascale, Espedito; Trombetta, Giulio; Weber, Hans 3 1993 Examples of proper \(k\)-ball contractive retractions in \(F\)-normed spaces. Zbl 1122.54009 Caponetti, D.; Trombetta, A.; Trombetta, G. 2 2007 On some measures of noncompactness and the measure of non equiabsolute continuity in function spaces. Zbl 0952.47043 Lepellere, M. A.; Trombetta, G. 2 1997 A compact convex set not convexly totally bounded. Zbl 1015.46003 Trombetta, Giulio 2 2001 Hausdorff norms of retractions in Banach spaces of continuous functions. Zbl 1186.46025 Calao, Vittorio; Trombetta, Alessandro; Trombetta, Giulio 2 2009 Almost contractive retractions in Orlicz spaces. Zbl 1058.46014 Lewicki, Grzegorz; Trombetta, Giulio 2 2003 A note on boundary conditions for nonlinear operators. Zbl 1185.47066 Caponetti, D.; Trombetta, A.; Trombetta, G. 2 2008 A note on the measure of solvability. Zbl 1115.47041 Caponetti, D.; Trombetta, G. 2 2004 Best approximation and fixed point theorems for non expansive mappings in Hilbert spaces. Zbl 0780.47044 Marino, Giuseppe; Trombetta, Giulio 1 1992 Total boundness in vector-valued \(F\)-seminormed function spaces. Zbl 1226.46032 Tavernise, Marianna; Trombetta, Alessandro; Trombetta, Giulio 1 2011 Eigenvectors of \(k-\psi \)-contractive wedge operators. Zbl 1225.47076 Caponetti, D.; Trombetta, A.; Trombetta, G. 1 2008 The measures of nonconvex total boundedness and of nonstrongly convex total boundedness for subsets of \(L_0\). Zbl 1047.46004 Trombetta, Giulio 1 2000 On the existence of \((\gamma_p),k\)-set contractive retractions in \(L_p[0,1]\) spaces, \(1\leq p <\infty\). Zbl 1028.46046 Trombetta, Alessandro; Trombetta, Giulio 1 2002 Fixed points and best approximations for convexly condensing functions in topological vector spaces. Zbl 0724.47034 De Pascale, Espedito; Trombetta, Giulio 1 1991 A theorem on best approximations in topological vector spaces. Zbl 0751.41022 De Pascale, Espedito; Trombetta, Giulio 1 1992 Monotonicity and total boundedness in spaces of “measurable” functions. Zbl 06821426 Caponetti, Diana; Trombetta, Alessandro; Trombetta, Giulio 1 2017 On the lack of equi-measurability for certain sets of Lebesgue-measurable functions. Zbl 06821445 Tavernise, Marianna; Trombetta, Alessandro; Trombetta, Giulio 1 2017 On the admissibility of the space \(L_0(\mathcal A,X)\) of vector-valued measurable functions. Zbl 1294.46026 Caponetti, Diana; Lewicki, Grzegorz; Trombetta, Alessandro; Trombetta, Giulio 1 2013 Optimal retraction problem for proper \(k\)-ball-contractive mappings in \(C^{m} [0,1]$. Zbl 1440.47043 Caponetti, Diana; Trombetta, Alessandro; Trombetta, Giulio 1 2019 Optimal retraction problem for proper \(k\)-ball-contractive mappings in \(C^{m} [0,1]$. Zbl 1440.47043 Caponetti, Diana; Trombetta, Alessandro; Trombetta, Giulio 1 2019 Monotonicity and total boundedness in spaces of “measurable” functions. Zbl 06821426 Caponetti, Diana; Trombetta, Alessandro; Trombetta, Giulio 1 2017 On the lack of equi-measurability for certain sets of Lebesgue-measurable functions. Zbl 06821445 Tavernise, Marianna; Trombetta, Alessandro; Trombetta, Giulio 1 2017 On the admissibility of the space \(L_0(\mathcal A,X)\) of vector-valued measurable functions. Zbl 1294.46026 Caponetti, Diana; Lewicki, Grzegorz; Trombetta, Alessandro; Trombetta, Giulio 1 2013 Total boundness in vector-valued \(F\)-seminormed function spaces. Zbl 1226.46032 Tavernise, Marianna; Trombetta, Alessandro; Trombetta, Giulio 1 2011 Hausdorff norms of retractions in Banach spaces of continuous functions. Zbl 1186.46025 Calao, Vittorio; Trombetta, Alessandro; Trombetta, Giulio 2 2009 Optimal and one-complemented subspaces. Zbl 1147.46017 Lewicki, Grzegorz; Trombetta, Giulio 9 2008 On boundary conditions for wedge operators on radial sets. Zbl 1151.47055 Caponetti, D.; Trombetta, A.; Trombetta, G. 3 2008 A note on boundary conditions for nonlinear operators. Zbl 1185.47066 Caponetti, D.; Trombetta, A.; Trombetta, G. 2 2008 Eigenvectors of \(k-\psi \)-contractive wedge operators. Zbl 1225.47076 Caponetti, D.; Trombetta, A.; Trombetta, G. 1 2008 Examples of proper \(k\)-ball contractive retractions in \(F\)-normed spaces. Zbl 1122.54009 Caponetti, D.; Trombetta, A.; Trombetta, G. 2 2007 An extension of Guo’s theorem via \(k\)-\(\psi\)-contractive retractions. Zbl 1109.47044 Caponetti, D.; Trombetta, A.; Trombetta, G. 7 2006 Proper 1-ball contractive retractions in Banach spaces of measurable functions. Zbl 1091.47043 Caponetti, D.; Trombetta, A.; Trombetta, G. 4 2005 On proper \(K\)-ball contractive retractions in the Banach space \(BC([0,\infty))\). Zbl 1095.47006 Caponetti, D.; Trombetta, G. 4 2005 \(K\)-set contractive retractions in spaces of continuous functions. Zbl 1058.46012 Trombetta, Giulio 3 2004 A note on the measure of solvability. Zbl 1115.47041 Caponetti, D.; Trombetta, G. 2 2004 Almost contractive retractions in Orlicz spaces. Zbl 1058.46014 Lewicki, Grzegorz; Trombetta, Giulio 2 2003 On the existence of \((\gamma_p),k\)-set contractive retractions in \(L_p[0,1]\) spaces, \(1\leq p <\infty\). Zbl 1028.46046 Trombetta, Alessandro; Trombetta, Giulio 1 2002 A compact convex set not convexly totally bounded. Zbl 1015.46003 Trombetta, Giulio 2 2001 The measures of nonconvex total boundedness and of nonstrongly convex total boundedness for subsets of \(L_0\). Zbl 1047.46004 Trombetta, Giulio 1 2000 On some measures of noncompactness and the measure of non equiabsolute continuity in function spaces. Zbl 0952.47043 Lepellere, M. A.; Trombetta, G. 2 1997 Convexly totally bounded and strongly totally bounded sets. Solution of a problem of Idzik. Zbl 0805.47055 De Pascale, Espedito; Trombetta, Giulio; Weber, Hans 3 1993 On approximating fixed points for nonexpansive maps. Zbl 0793.47052 Marino, Giuseppe; Trombetta, Giulio 13 1992 Best approximation and fixed point theorems for non expansive mappings in Hilbert spaces. Zbl 0780.47044 Marino, Giuseppe; Trombetta, Giulio 1 1992 A theorem on best approximations in topological vector spaces. Zbl 0751.41022 De Pascale, Espedito; Trombetta, Giulio 1 1992 Measures of noncompactness in the space \(L_ 0\) and a generalization of the Arzelà-Ascoli theorem. Zbl 0753.47022 Avallone, Anna; Trombetta, Giulio 3 1991 Fixed points and best approximations for convexly condensing functions in topological vector spaces. Zbl 0724.47034 De Pascale, Espedito; Trombetta, Giulio 1 1991 The Hausdorff measure of noncompactness for balls of F-normed linear spaces and for subsets of \(L_ 0\). Zbl 0657.47050 Trombetta, Giulio; Weber, Hans 3 1986 all cited Publications top 5 cited Publications all top 5 Cited by 41 Authors 11 Trombetta, Alessandro 10 Caponetti, Diana 10 Trombetta, Giulio 3 Lewicki, Grzegorz 2 Guo, Dajun 2 Jung, Jong Soo 2 Marino, Giuseppe 2 Rao, T. S. S. R. K. 2 Takahashi, Wataru 2 Tavernise, Marianna 2 Xu, Hong-Kun 1 Abu-Sirhan, Eyad 1 Altawallbeh, Zuhier 1 Ciesielski, Maciej 1 Colao, Vittorio 1 De Pascale, Espedito 1 Denkowska, Anna 1 Ghosh, Souvik 1 Kamińska, Anna 1 Kim, Gang-Eun 1 Kim, In-Sook 1 Kim, Seong Sik 1 Kim, Tae Hwa 1 Kobos, Tomasz 1 Lan, Kunquan 1 Lee, Han Ju 1 Matsushita, Shin-Ya 1 Narayanan, M. Sankara 1 Park, Sehie 1 Paul, Kallol 1 Reddy, B. Krishna 1 Sain, Debmalya 1 Sohel, Shamim 1 Takele, Mollalgn Haile 1 Tufa, Abebe Regassa 1 Vakilabad, Ali Bagheri 1 Väth, Martin 1 Weber, Hans Josef Karl 1 Wu, Jianhong 1 Yin, Ximing 1 Zegeye, Habtu all top 5 Cited in 26 Serials 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Mathematical Analysis and Applications 3 Numerical Functional Analysis and Optimization 3 Nonlinear Analysis. Theory, Methods & Applications 2 Monatshefte für Mathematik 2 Topology and its Applications 2 Topological Methods in Nonlinear Analysis 2 Boundary Value Problems 1 Linear and Multilinear Algebra 1 Rocky Mountain Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Kodai Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 Applied Mathematics Letters 1 The Journal of Analysis 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Journal of Inequalities and Applications 1 Journal of Function Spaces and Applications 1 Mediterranean Journal of Mathematics 1 Fixed Point Theory and Applications 1 Banach Journal of Mathematical Analysis 1 Afrika Matematika 1 Sahand Communications in Mathematical Analysis all top 5 Cited in 11 Fields 29 Operator theory (47-XX) 17 Functional analysis (46-XX) 5 Approximations and expansions (41-XX) 4 General topology (54-XX) 3 Integral equations (45-XX) 3 Convex and discrete geometry (52-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) Citations by Year