ISOMETRIC AND ISOMETRIC- m OPERATORS

Authors

  • Gunawan Gunawan Pendidikan Matematika, FKIP, Universitas Muhammadiyah Purwokerto

DOI:

https://doi.org/10.24127/ajpm.v6i3.1081

Keywords:

Adjoint Operators, Isometric Operators, Isometric- m Operators

Abstract

This paper presents the definition, samples, and natures of isometric and isometric- m algebra operator for some  in  Hilbert space. In additions, the relationship of both operators will also be examined. To investigate natures of isometric and isometric- m operators, adjoint operators concepts and natures are required. Adjoint operator concept underlies isometric operator’s natures. Later, according to the concept, isometrc operator is expanded into isometric- m operators for some in Hilbert space. The result unveils algebra natures of isometric and isometric- m operators consisting of composition operators natures and multiplication with scalar. Furthermore, if T operators is isometric then T operators isometric- m for some .

Author Biography

Gunawan Gunawan, Pendidikan Matematika, FKIP, Universitas Muhammadiyah Purwokerto

Program Studi Pendidikan Matematika, FKIP.

References

Akhiezer, N.I. and Glazman, M. 2013. Theory of Linear Operators in Hilbert Spaces. New York: Dover Publication, Inc.

Berberian, S.K.1961. Introduction to Hilbert Spaces. New York: Oxford University Press.

Kreyszig, E.1978. Introductory Functional Analysis with Applications. New York: John Wiley and Sons.

Saddi, Adel and Ould Ahmed Mahmoud Sid Ahmed . 2010. m- Partial Isometries On Hilbert Spaces. Internat J. Functional Analysis, Operator Theory,and Applications . Volume 2, No 1, Pages 67-83, 7 September. Dapat diakses di http://pphmj.com/journals/ijaota.htm.

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Published

29-12-2017

Issue

Vol. 6 No. 3 (2017)

Section

Articles

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