G-Frames in Hilbert spaces are a redundant set of operators which yield a representation for each vector in the space. In this paper we investigate the connection between g-frames, g-orthonormal bases and g-Riesz bases. We show that a family of bounded operators is a g-Bessel sequences if and only if the Gram matrix associated to its denes a bounded operator.

Avila and Molina [1] introduced the notion of generalized weak structures which naturally generalize minimal structures, generalized topologies and weak structures and the structures α(g),π(g),σ(g) and β(g). This work is a further investigation of generalized weak structures due to Avila and Molina. Further we introduce the structures ro(g) and rc(g) and study the properties of the structures r...

Cotton has been aptly described as the prosperity plant owing to its unrivalled economic importance as a source of feedstock, food and oil, as well as raw material for diverse industrial applications, ranging from textile and footwear to automobiles, energy, medical and pharmaceutical. As such, over 180 million people of the world depend on its production for livelihood. However, cotton product...

Seed decay (rot) and seedling damping-off caused by Rhizoctonia solani are among the most important diseases of cotton which result in the significant yield reduction, application of expensive and harmful chemical fungicides and most importantly contamination of soil and agricultural environment. This study was conducted to investigate the possible efficacy of cotton seed delinting in the reduc...