1 citations · 1 across the 7 of their papers we have counts for
7 papers
Spatial Numerical Range in Non-unital, Normed algebras and their Unitizations
H. V. Dedania, A. B. Patel
Let be any normed algebra (not necessarily complete nor unital). Let and let denote the spatial numerical range of in . Let…
On the convexity of spatial numetical range in normed algebras
H. V. Dedania, A. B. Patel
In this article, we address the following question: Is it true that the spatial numerical range (SNR) of an element in a normed algebra is always conv…
The Spectral extension property in the unitization of Banach Algebras
H. V. Dedania, A. B. Patel
Let be a non-unital Banach algebra and let be the unitization of . It is true that if has the spectral extension property (SEP), then …
Uniqueness of Norm and Faithfulness of some Product Banach Algebras
H. V. Dedania, J. G. Patel
We prove that the faithful and uniqueness of norm properties are stable in different product algebras such as direct-sum product algebra, convolution product algebra, and module pr…
The Operator Norm on Weighted Discrete Semigroup Algebras
H. V. Dedania, J. G. Patel
Let be a weight on a right cancellative semigroup . Let be the weighted norm on the weighted discrete semigroup algebra . In this paper, we prove…
A note on generalized characters
S J Bhatt, H V Dedania
For a compactly generated LCA group , it is shown that the set of all generalized characters on equipped with the compact-open topology is a LCA group and $H(G) = \dg…