On The Spectrum of Norlund Type Matrix Operator
DOI:
https://doi.org/10.23918/eajse.v9i2p15Keywords:
Sequence Space, Bounded Variation, Nörlund Type Matrix, Bounded Operators, Spectrum of an OperatorAbstract
In this article, we defined a Nörlund type matrix
References
[1] Choudhary B, Nanda S. Functional analysis with applications. John Wiley & Sons; 1989.
[2] Appell J, De Pascale E, Vignoli A. Nonlinear spectral theory. InNonlinear Spectral Theory
2008 Aug 22. de Gruyter.
[3] Hardy GH, Divergent Series, Oxford University Press, London, 1956.
[4] Mears FM. The inverse norlund mean. Annals of Mathematics. 1943 Jul 1:401-10.
[5] Mears FM. Some multiplication theorems for the Nörlund mean.
[6] Kayaduman K, Yaşar F. On Domain of Nörlund Matrix. Mathematics. 2018 Nov 20; 6(11):
268. https://doi.org/10.3390/math6110268
[7] Tuğ O. On the Domain of Nörlund Matrix in the Space bv of Bounded Variation Sequences.
Eurasian Journal of Science and Engineering. 2017; 3(2): 111-20.
https://doi.org/10.23918/eajse.v3i2p111
[8] Tuğ O, Başar F. On the domain of Nörlund mean in the spaces of null and convergent
sequences, TWMS J. Pure Appl. Math. 2016; 7(1): 76-87.
[9] Tuǧ O, Başar F. On the spaces of Nörlund almost null and Nörlund almost convergent
sequences. Filomat. 2016 Jan 1; 30(3): 773-83. https://doi.org/10.2298/FIL1603773T
[10] Malkowsky E, Milovanović GV, Rakočević V, Tuğ O. The roots of polynomials and the
operator Δ i 3 on the Hahn sequence space h. Computational and Applied Mathematics. 2021
Sep; 40(6): 222. https://doi.org/10.1007/s40314-021-01611-6
[11] Okello IA, J. R. Akanga, Augustus NW. On the spectrum of a special Nörlund matrix as an
operator on
[12] Okello A, Akanga JR, Augustus NW, A special Norlund means and its spectrum.
International Journal of Mathematical Analysis. 2017; 11(13): 647-656.
https://doi.org/10.12988/ijma.2017.7547
[13] Coşkun C, A special Nörlund mean and its eigenvalues. Commun. Fac. Sci. Univ. Ank. Ser.
A1, Math. Stat.. 2003; 52(01): 27-31. https://doi.org/10.1501/Commua1_0000000346
[14] Raj K, Mohiuddine SA, Jasrotia S. Characterization of summing operators in multiplier
spaces of deferred Nörlund summability. Positivity. 2023 Feb; 27(1): 9.
[15] Kreyszig E. Introductory functional analysis with applications. John Wiley & Sons; 1991 Jan
16.
[16] Goldberg S. Unbounded linear operators: Theory and applications. Courier Corporation;
2006.
[17] Okutoyi JT. On the spectrum of C1 as an operator on bv, Commun. Fac. Sci. Univ. Ank. Ser.
A. 1992; 1(41): 197-207.
[18] Bilgiç H, Furkan H, On the fine spectrum of the operator
ℓ1 and
https://doi.org/10.1016/j.mcm.2006.08.008
[19] Furkan H, Bilgiç H, Kayaduman K. On the fine spectrum of the generalized difference
operator
November; 35(4) 893-904. https://doi.org/10.14492/hokmj/1285766434
[20] Akhmedov A M, F. Başar. "The fine spectra of the difference operator Δ over the sequence
space
[21] Malkowsky E, Rakočević V, Tuğ O. Compact operators on the Hahn space, Monatsh. Math.
2021; https://doi.org/10.1007/s00605-021-01588-8
[22] Malkowsky E. Some Compact Operators on the Hahn Space, Scientific Research
Communications. 2021; 1(1):1-14. https://doi.org/10.52460/src.2021.001
[23] Tuğ O, Malkowsky E, Hazarika B, Yaying T. On the New Generalized Hahn Sequence
Space hdp. InAbstract & Applied Analysis 2022 Sep 16.
Downloads
Published
Issue
Section
License
License
Eurasian J. Sci. Eng is distributed under the terms of the Creative Commons Attribution License 4.0 (CC BY-4.0) https://creativecommons.org/licenses/by/4.0/
