Composite Multiplication Pre-Frame Operatorson the Space of Vector-Valued Weakly Measurable Functions

S. Senthil
S. Senthil
M.Nithya
M.Nithya
D. C. Kumar
D. C. Kumar
Department of Economics and Statistics, Govt of Tamilnadu

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Composite Multiplication Pre-Frame Operatorson the Space of  Vector-Valued Weakly Measurable Functions

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Abstract

In this paper,we first characterize the boundedness of the condition under which composite multiplication pre-frame operators on L 2 (μ) -space, namely M u,T,f and its adjoint. Then, we identify the relation between the adjoint of M u,T,f and the composite multiplication frame operators which is denoted by S u,T,f all the results have been obtained in terms of radonnikodymderivative h T .

References

17 Cites in Article
  1. James Campbell,James Jamison (1990). On some classes of weighted composition operators.
  2. Embry Wardrop,M Lambert,A (2009). Measurable transformations and centred composition operators.
  3. J Herron Weighted conditional expectation operators on L p -spaces.
  4. Thomas Hoover,Alan Lambert,Joseph Quinn (1982). The Markov process determined by a weighted composition operator.
  5. R Singh,R Chandra Kumar (1985). Weighted composition operators on functional Hilbert spaces.
  6. R Singh (1976). Composition operators induced by rational functions.
  7. Hiroyuki Takagi,Katsuhiko Yokouchi (1999). Multiplication and composition operators between two 𝐿^{𝑝}-spaces.
  8. S Panaiyappan,D Senthilkumar (2002). Parahyponormal and M⃰ -parahyponormal composition operators.
  9. S Senthil,P & Thangaraju,D Kumar (2015). n-Normal and n-Quasi-normal Composite Multiplication Operator on L2 -Spaces.
  10. S Senthil,P & Thangaraju,D Kumar (2015). k-*Paranormal, k-Quasi-*paranormal and (n, k)- Quasi-*paranormal Composite Multiplication Operator on ⌊2-spaces.
  11. S Senthil,P & Thangaraju,D Kumar (2015). n-Normal and n-Quasi-normal Composite Multiplication Operator on L2 -Spaces.
  12. R Duffin,A Schaeffer (1952). A class of nonharmonic Fourier series.
  13. M Faroughi,E Osgooei (2012). c-frame and c-Bessel mappings.
  14. D Harrington,R Whitly (1984). Seminormal composition operators.
  15. Ole Christensen (2007). Bases.
  16. Z Moayyerizadeh,H Emamalipour (2016). Weighted composition operator valued integral.
  17. & Dc Senthil,Kumar α, β)-normal and skew normal composite multiplication operators on Hilbert Spaces.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

S. Senthil. 2020. \u201cComposite Multiplication Pre-Frame Operatorson the Space of Vector-Valued Weakly Measurable Functions\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 20 (GJSFR Volume 20 Issue F7).

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification MSC 2010: 47B33
47B20
46C05
Version of record

v1.2

Issue date
November 23, 2020

Language
en
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Composite Multiplication Pre-Frame Operatorson the Space of Vector-Valued Weakly Measurable Functions

S. Senthil
S. Senthil <p>Department of Economics and Statistics, Govt of Tamilnadu</p>
M.Nithya
M.Nithya
D. C. Kumar
D. C. Kumar

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