Following a well-established tradition initiated on 1989, during the week of September 24-30, 2009, the Sixth International Conference on Functional Analysis and Approximation Theory was held at Acquafredda di Maratea (Potenza). Earlier meetings were held in 1989, 1992, 1996, 2000 and 2004 at the same place. The Conference was organized by the Center for Studies on Functional Analysis and Approximation Theory of the University of Basilicata (Potenza), directed by Prof. Giuseppe Mastroianni, with the collaboration of the Research Group “Real Analysis and Methods of Functional Analysis for Differential Problems and Approximation Problems” of the University of Bari, directed by Prof. Francesco Altomare. Besides Francesco Altomare and Giuseppe Mastroianni, the organizing committee consisted also of Antonio Attalienti, Michele Campiti, Mirella Cappelletti Montano, Lorenzo D’Ambrosio, Maria Carmela De Bonis, Sabrina Diomede, Vita Leonessa, Donatella Occorsio and Maria Grazia Russo. The meeting was devoted to some significant aspects of contemporary mathematical research on Functional Analysis, Operator Theory and Approximation Theory including the applications of these fields in other areas such as partial differential equations, integral equations and numerical analysis. A special session was dedicated to Professor Giuseppe Mastroianni on the occasion of his 70th birthday, as a fair token of appreciation for his contribution to mathematics and to the organization of all the Maratea conferences (1989 – 2009). The Conference was attended by over 150 mathematicians coming from more than 30 countries. The scientific program consisted of 14 plenary lectures and about 120 communications. Several thematic sessions were arranged. Among the main topics treated therein we mention: - Banach spaces, approximation in normed spaces. - Fixed points theorems and best approximation. - Banach lattices, - Banach algebras, topological algebras and operator algebras. - Function spaces. - Linear and nonlinear operators on Banach spaces, positive operators, spectral theory - Semigroups of operators, Feller semigroups and evolution equations. - Ordinary and partial differential equations. - Real functions and inequalities, complex approximation. - Approximation by positive operators, approximation by nonlinear expressions, rate of convergence. - Polynomial approximation, rational approximation. - Interpolation and quadrature formulas. - Orthogonal polynomials, special functions. - Integral equations. - Integral operators, integral transforms and Fourier analysis. - Integral inequalities. - Numerical analysis. In this volume we collect some invited lectures together with a selection of the papers corresponding to the research talks, which have been carefully refereed. Our thanks go to the referees for their collaboration as well as for their accurate work. We gratefully acknowledge the financial support of the Institutions listed below: • the University of Basilicata, • the University of Bari, • the Faculty of Sciences of the University of Basilicata, • the Department of Mathematics and Computer Science of the University of Basilicata (Potenza), • the Department of Mathematics of the University of Bari, • the Department of Economic Sciences and Mathematical Methods of the University of Bari, • the Department of Mathematics of the University of Salento, • the National Group for Mathematical Analysis, Probability and their Applications (IndAM - G.N.A.M.P.A.), • The Research Group “Partial Differential Equations and Mathematical Finance”, University of Bari, • the Basilicata Tourism Board. We are particularly indebted to Sabina Milella and Graziana Musceo as well as to several other Ph.D and Post-Doc students who assisted and helped us in organizing the Conference secretariat services. To all of them we express our special thanks. We are also grateful to Biancamaria Della Vecchia for her friendly collaboration. Finally we would like to thank Professor P. Vetro for accepting to publish the Proceedings of the Conference in a supplement of "Rendiconti del Circolo Matematico di Palermo". May 2010 Francesco Altomare On behalf of the Organizing Committee

Functional Analysis and Approximation Theory VI, Proceedings of the 6th International Conference on Functional Analysis and Approximation Theory held in Acquafredda di Maratea (Potenza), September 24 – 30, 2009

ALTOMARE, Francesco
2010-01-01

Abstract

Following a well-established tradition initiated on 1989, during the week of September 24-30, 2009, the Sixth International Conference on Functional Analysis and Approximation Theory was held at Acquafredda di Maratea (Potenza). Earlier meetings were held in 1989, 1992, 1996, 2000 and 2004 at the same place. The Conference was organized by the Center for Studies on Functional Analysis and Approximation Theory of the University of Basilicata (Potenza), directed by Prof. Giuseppe Mastroianni, with the collaboration of the Research Group “Real Analysis and Methods of Functional Analysis for Differential Problems and Approximation Problems” of the University of Bari, directed by Prof. Francesco Altomare. Besides Francesco Altomare and Giuseppe Mastroianni, the organizing committee consisted also of Antonio Attalienti, Michele Campiti, Mirella Cappelletti Montano, Lorenzo D’Ambrosio, Maria Carmela De Bonis, Sabrina Diomede, Vita Leonessa, Donatella Occorsio and Maria Grazia Russo. The meeting was devoted to some significant aspects of contemporary mathematical research on Functional Analysis, Operator Theory and Approximation Theory including the applications of these fields in other areas such as partial differential equations, integral equations and numerical analysis. A special session was dedicated to Professor Giuseppe Mastroianni on the occasion of his 70th birthday, as a fair token of appreciation for his contribution to mathematics and to the organization of all the Maratea conferences (1989 – 2009). The Conference was attended by over 150 mathematicians coming from more than 30 countries. The scientific program consisted of 14 plenary lectures and about 120 communications. Several thematic sessions were arranged. Among the main topics treated therein we mention: - Banach spaces, approximation in normed spaces. - Fixed points theorems and best approximation. - Banach lattices, - Banach algebras, topological algebras and operator algebras. - Function spaces. - Linear and nonlinear operators on Banach spaces, positive operators, spectral theory - Semigroups of operators, Feller semigroups and evolution equations. - Ordinary and partial differential equations. - Real functions and inequalities, complex approximation. - Approximation by positive operators, approximation by nonlinear expressions, rate of convergence. - Polynomial approximation, rational approximation. - Interpolation and quadrature formulas. - Orthogonal polynomials, special functions. - Integral equations. - Integral operators, integral transforms and Fourier analysis. - Integral inequalities. - Numerical analysis. In this volume we collect some invited lectures together with a selection of the papers corresponding to the research talks, which have been carefully refereed. Our thanks go to the referees for their collaboration as well as for their accurate work. We gratefully acknowledge the financial support of the Institutions listed below: • the University of Basilicata, • the University of Bari, • the Faculty of Sciences of the University of Basilicata, • the Department of Mathematics and Computer Science of the University of Basilicata (Potenza), • the Department of Mathematics of the University of Bari, • the Department of Economic Sciences and Mathematical Methods of the University of Bari, • the Department of Mathematics of the University of Salento, • the National Group for Mathematical Analysis, Probability and their Applications (IndAM - G.N.A.M.P.A.), • The Research Group “Partial Differential Equations and Mathematical Finance”, University of Bari, • the Basilicata Tourism Board. We are particularly indebted to Sabina Milella and Graziana Musceo as well as to several other Ph.D and Post-Doc students who assisted and helped us in organizing the Conference secretariat services. To all of them we express our special thanks. We are also grateful to Biancamaria Della Vecchia for her friendly collaboration. Finally we would like to thank Professor P. Vetro for accepting to publish the Proceedings of the Conference in a supplement of "Rendiconti del Circolo Matematico di Palermo". May 2010 Francesco Altomare On behalf of the Organizing Committee
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/65150
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