商品簡介
In this book the new topic of lineability and spaceability is explored following closely the generalized trend in mathematics to search for large algebraic structures composed of mathematical objects with special properties. A state-of-the-art introduction to this concept is provided along with the current direction of research and a discussion of open problems in the field as well as potential solutions. Lineability and spaceability have a remarkable influence on real and complex analysis, summability theory, and general functional analysis.
作者簡介
Richard M. Aron is a professor of mathematics at Kent State University. He is editor-in-chief of theJournal of Mathematical Analysis and Applications. He is also on the editorial boards ofRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas (RACSAM) and theMathematical Proceedings of the Royal Irish Academy. His primary research interests include functional and nonlinear analysis. He received his PhD from the University of Rochester.
Luis Bernal Gonzalez is a full professor at the University of Seville. His main research interests are complex analysis, operator theory, and the interdisciplinary subject of lineability. He is the author or coauthor of more than 80 papers in these areas, many of them concerning the structure of the sets of mathematical objects. He is also a reviewer for several journals. He received his PhD in mathematics from the University of Seville.
Daniel M. Pellegrino is an associate professor at the Federal University of Paraiba. He is also a researcher at the National Council for Scientific and Technological Development (CNPq) in Brazil. He is an elected affiliate member of the Brazilian Academy of Sciences and a young fellow of The World Academy of Sciences (TWAS). He received his PhD in mathematical analysis from Unicamp (State University of Sao Paulo).
Juan B. Seoane Sepulveda is a professor at the Complutense University of Madrid. He is the coauthor of over 100 papers. His main research interests include real and complex analysis, operator theory, number theory, geometry of Banach spaces, and lineability. He received his first PhD from the University of Cadiz jointly with the University of Karlsruhe and his second PhD from Kent State University.
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