Lineability - Aron, Richard M; Bernal-Gonzalez, Luis; Pellegrino, Daniel M; Sepulveda, Juan B Seoane
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Bringing together research that was otherwise scattered throughout the literature, this book collects the main results on the conditions for the existence of large algebraic substructures. Many examples illustrate lineability, dense-lineability, spaceability, algebrability, and strong algebrability in different areas of mathematics, including real and complex analysis. The book presents general techniques for discovering lineability in its diverse degrees, incorporates assertions with their corresponding proofs, and provides exercises in every chapter.

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Produktbeschreibung
Bringing together research that was otherwise scattered throughout the literature, this book collects the main results on the conditions for the existence of large algebraic substructures. Many examples illustrate lineability, dense-lineability, spaceability, algebrability, and strong algebrability in different areas of mathematics, including real and complex analysis. The book presents general techniques for discovering lineability in its diverse degrees, incorporates assertions with their corresponding proofs, and provides exercises in every chapter.
Autorenporträt
Richard M. Aron is a professor of mathematics at Kent State University. He is editor-in-chief of the Journal of Mathematical Analysis and Applications . He is also on the editorial boards of Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas (RACSAM) and the Mathematical 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 González 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 Paraíba. 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 São Paulo). Juan B. Seoane Sepúlveda 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 Cádiz jointly with the University of Karlsruhe and his second PhD from Kent State University.