Some Paranormed Spaces Derived by the Double Sequential Band Matrix

Abstract Let λ denote any one of the spaces ℓ∞ and ℓp and λ(Ť) be the domain of the band matrix Ť. We study ℓp(Ť) for 1 ≤ p ≤ ∞ and give some inclusions and its topological properties. Also, we define the alpha−, beta− and gamma− duals of the space ℓp(Ť). Finally, we give some matrix mappings.

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Schrodinger equation as recurrences. I. Band-matrix Hamiltonians

Journal of Physics A General Physics ◽

10.1088/0305-4470/16/17/016 ◽

1983 ◽

Vol 16 (17) ◽

pp. 4001-4011 ◽

Cited By ~ 3

Author(s):

M Znojil

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Band Matrix

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Partition of the spectra for the lower triangular double band matrix as generalized difference operator Δv over the sequence spaces c and lp (1 < p < ∞)

Proyecciones (Antofagasta) ◽

10.22199/issn.0717-6279-2020-01-0004 ◽

2020 ◽

Vol 39 (1) ◽

pp. 51-71

Author(s):

Nuh Durna

Keyword(s):

Difference Operator ◽

Sequence Spaces ◽

Band Matrix ◽

Lower Triangular

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Domain of the Double Sequential Band Matrix in the Sequence Space

Abstract and Applied Analysis ◽

10.1155/2013/949282 ◽

2013 ◽

Vol 2013 ◽

pp. 1-10 ◽

Cited By ~ 1

Author(s):

Havva Nergiz ◽

Feyzi Başar

Keyword(s):

Sequence Space ◽

Sequence Spaces ◽

Schauder Basis ◽

Matrix Transformations ◽

Difference Matrix ◽

Band Matrix ◽

Alpha Beta

The sequence space was introduced by Maddox (1967). Quite recently, the domain of the generalized difference matrix in the sequence space has been investigated by Kirişçi and Başar (2010). In the present paper, the sequence space of nonabsolute type has been studied which is the domain of the generalized difference matrix in the sequence space . Furthermore, the alpha-, beta-, and gamma-duals of the space have been determined, and the Schauder basis has been given. The classes of matrix transformations from the space to the spaces ,candc0have been characterized. Additionally, the characterizations of some other matrix transformations from the space to the Euler, Riesz, difference, and so forth sequence spaces have been obtained by means of a given lemma. The last section of the paper has been devoted to conclusion.

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The intravarietal relationship among different accessions of Dolichos biflorus was checked based on protein profiling using SDS-PAGE.

American Journal of Biotechnology and Bioinformatics ◽

10.28933/ajobb-2020-12-2505 ◽

2021 ◽

pp. 9

Author(s):

Keyword(s):

Genetic Diversity ◽

Protein Profiling ◽

Similarity Matrix ◽

High Genetic Diversity ◽

Dolichos Biflorus ◽

Band Matrix ◽

Sds Page ◽

Upgma Cluster Analysis ◽

Clustering Pattern ◽

100 Seed Weight

In this study, the phylogenetic relationship within the selected Eleven Indian (Dolichos biflorus (horse gram) varieties was analyzed for total soluble seed protein. Twenty-five bands were documented through SDS PAGE based on 100 seed weight of each variety and were studied for genetic diversity. Jaccard’s similarity matrix was acquired and used in UPGMA cluster analysis based on the polymorphism generated by the presence (1) or absence (0) of protein bands. Thus, the dendrogram showed four major groups that corre-spond to an earlier study on polymorphisms of 11 accessions of Indian Dolichos. Signifi-cant correspondence between the clustering pattern and the pedigree was observed; thus, a high genetic diversity could be kept within the Dolichos varieties. A similarity matrix among the targeted genotypes and phylogenetic analysis is considered a unique feature in the present work. Therefore, the current investigation was carried out to analyse Protein diversity of unexplored Dolichos genotypes at the molecular level, construct a dendro-gram based on similarity band matrix and generate efficiency in genetic divergence analy-sis among Dolichos. This study underlines the importance of using genetic diversity based in the Dolichos breeding program.

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