A general HELP inequality connected with symmetric operators

Langer, M. (2006) A general HELP inequality connected with symmetric operators. Proceedings A: Mathematical, Physical and Engineering Sciences, 462 (2066). pp. 587-606. ISSN 1471-2962 (https://doi.org/10.1098/rspa.2005.1576)

Abstract

In this paper, a general HELP (Hardy-Everitt-Littlewood-Pólya) inequality is considered which is connected with a symmetric operator in a Hilbert space and abstract boundary mappings. A criterion for the validity of such an inequality in terms of the abstract Titchmarsh-Weyl function is proved and applied to Sturm-Liouville operators, difference operators, a Hamiltonian system and a block operator matrix.

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• Item metadata

  Item type:	Article
  ID code:	4552
  Dates:	Date Event 8 February 2006 Published 13 December 2005 Published Online
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Strathprints Administrator
  Date deposited:	01 Nov 2007
  Last modified:	08 Apr 2024 16:00
  URI:	https://strathprints.strath.ac.uk/id/eprint/4552