A GENERAL NORM ON EXTENSION OF A HILBERT’S TYPE LINEAR OPERATOR

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JOKAR Z.; BEHBOODIAN J.

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Journal Paper

Paper Information

Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2010 | Volume:5 | Issue:1 (S.N. 9) Page(s): 1-12

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Information Journal Paper

Title

A GENERAL NORM ON EXTENSION OF A HILBERT’S TYPE LINEAR OPERATOR

Author(s)

JOKAR Z. | BEHBOODIAN J. | Issue Writer Certificate

Keywords

BETA FUNCTION

INNER PRODUCT

HOLDER’S INEQUALITY

NORM

HILBERT’S INEQUALITY

EXTENSION OF HILBERT’S INEQUALITY

EXTENSION OF 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, ¥) ® L2 (0, ¥), a more general case with l > 0, for the continuous form has been studied. By putting l = 1 a NORM of extension of Hilbert’s integral linear operator is obtained. Similar results have been expressed for series when 0 < l £ 2.

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References

HILBERTS TYPE LINEAR OPERATOR AND SOME EXTENSIONS OF HILBERTS INEQUALITY

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APA: Copy

JOKAR, Z., & BEHBOODIAN, J.. (2010). A GENERAL NORM ON EXTENSION OF A HILBERT’S TYPE LINEAR OPERATOR. JOURNAL OF MATHEMATICAL EXTENSION, 5(1 (S.N. 9)), 1-12. SID. https://sid.ir/paper/563523/en

Vancouver: Copy

JOKAR Z., BEHBOODIAN J.. A GENERAL NORM ON EXTENSION OF A HILBERT’S TYPE LINEAR OPERATOR. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2010;5(1 (S.N. 9)):1-12. Available from: https://sid.ir/paper/563523/en

IEEE: Copy

Z. JOKAR, and J. BEHBOODIAN, “A GENERAL NORM ON EXTENSION OF A HILBERT’S TYPE LINEAR OPERATOR,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 5, no. 1 (S.N. 9), pp. 1–12, 2010, [Online]. Available: https://sid.ir/paper/563523/en

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