Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Image from Google Jackets

Lineability : the search for linearity in mathematics / Richard M. Aron...[et al.].

By: Contributor(s): Material type: TextTextSeries: Monographs and research notes in mathematicsPublication details: Boca Raton : CRC Press, ©2016.Description: xix, 308 p. : illustrations ; 24 cmISBN:
  • 9781482299090
Subject(s): DDC classification:
  • 512.5 23 Ar769
Contents:
1. Real analysis -- 2. Complex analysis -- 3. Sequence spaces, measure theory and integration -- 4. Universality, hypercyclicity and chaos -- 5. Zeros of polynomials in Banach spaces -- 6. Miscellaneous -- 7. General techniques.
Summary: 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.
Tags from this library: No tags from this library for this title. Log in to add tags.

Includes bibliographical references and index.

1. Real analysis --
2. Complex analysis --
3. Sequence spaces, measure theory and integration --
4. Universality, hypercyclicity and chaos --
5. Zeros of polynomials in Banach spaces --
6. Miscellaneous --
7. General techniques.

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.

There are no comments on this title.

to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in