Lineability : the search for linearity in mathematics /
"Renewed interest in vector spaces and linear algebras has spurred the search for large algebraic structures composed of mathematical objects with special properties. Bringing together research that was otherwise scattered throughout the literature, Lineability: The Search for Linearity in Math...
Guardado en:
Otros Autores: | , , , |
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Formato: | Libro |
Lenguaje: | Inglés |
Publicado: |
Boca Raton :
CRC Press,
c2016.
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Colección: | Monographs and research notes in mathematics
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Materias: | |
Aporte de: | Registro referencial: Solicitar el recurso aquí |
LEADER | 02826cam a2200433Ia 4500 | ||
---|---|---|---|
001 | 990000657770204151 | ||
005 | 20200519155946.0 | ||
008 | 160217s2016 flua b 001 0 eng d | ||
010 | |a 2015452879 | ||
020 | |a 9781482299090 |q (hbk.) | ||
020 | |a 1482299097 |q (hbk.) | ||
035 | |a (OCoLC)000065777 | ||
035 | |a (udesa)000065777USA01 | ||
035 | |a (OCoLC)944013578 | ||
035 | |a (OCoLC)990000657770204151 | ||
040 | |a BTCTA |c BTCTA |d DLC |d U@S | ||
042 | |a lccopycat | ||
049 | |a U@SA | ||
050 | 0 | 0 | |a QA184.2 |b .L56 2016 |
245 | 0 | 0 | |a Lineability : |b the search for linearity in mathematics / |c Richard M. Aron ... [et al.]. |
246 | 3 | 0 | |a Search for linearity in mathematics |
260 | |a Boca Raton : |b CRC Press, |c c2016. | ||
300 | |a xix, 308 p. : |b il. ; |c 24 cm. | ||
490 | 1 | |a Monographs and research notes in mathematics | |
500 | |a Autores: Richard M. Aron, Luis Bernal González, Daniel M. Pellegrino, Juan B. Seoane Sepúlveda. | ||
500 | |a "A Chapman & Hall book." | ||
504 | |a Incluye referencias bibliográficas (p. 285-301) e índice. | ||
520 | |a "Renewed interest in vector spaces and linear algebras has spurred the search for large algebraic structures composed of mathematical objects with special properties. Bringing together research that was otherwise scattered throughout the literature, Lineability: The Search for Linearity in Mathematics collects the main results on the conditions for the existence of large algebraic substructures. It investigates lineability issues in a variety of areas, including real and complex analysis. After presenting basic concepts about the existence of linear structures, the book discusses lineability properties of families of functions defined on a subset of the real line as well as the lineability of special families of holomorphic (or analytic) functions defined on some domain of the complex plane. It next focuses on spaces of sequences and spaces of integrable functions before covering the phenomenon of universality from an algebraic point of view. The authors then describe the linear structure of the set of zeros of a polynomial defined on a real or complex Banach space and explore specialized topics, such as the lineability of various families of vectors. The book concludes with an account of general techniques for discovering lineability in its diverse degrees." --Descripción del editor. | ||
650 | 0 | |a Algebras, Linear. | |
650 | 0 | |a Vector spaces. | |
650 | 0 | |a Mathematical analysis. | |
650 | 7 | |a Álgebras lineales. |2 UDESA | |
650 | 7 | |a Espacios vectoriales. |2 UDESA | |
650 | 7 | |a Análisis matemático. |2 UDESA | |
700 | 1 | |a Aron, Richard M. | |
700 | 1 | |a Bernal González, Luis. | |
700 | 1 | |a Pellegrino, Daniel M. | |
700 | 1 | |a Seoane Sepúlveda, Juan B. | |
830 | 0 | |a Monographs and research notes in mathematics |