A General Norm on Extension of a Hilbert’s Type Linear Operator

Authors

  • Zahra Jokar
  • Javad Behboodian

DOI:

https://doi.org/10.30495/jme.v0i0.397

Abstract

The main purpose of this paper is to study a general norm
on extension of a Hilbert’s type linear operator in the continuous and
discrete form. In addition to expressing the norm of a Hilbert’s type
linear operator T : L2(0,\infty) -> L2(0,\infty), a more general case with
\lmbda > 0, for the continuous form has been studied. By putting \lmbda  = 1
a norm of extension of Hilbert’s integral linear operator is obtained.
Similar results have been expressed for series when \lmbda <= 2.

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Published

2015-07-30

Issue

Vol 5 (2010-2011)

Section

Vol. 5, No. 1, (2010)

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