A General Norm on Extension of a Hilbert’s Type Linear Operator
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.
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.
Refbacks
- There are currently no refbacks.
This work is licensed under a Creative Commons Attribution 3.0 License.