2 citations · 2 across the 5 of their papers we have counts for
5 papers
Novel Approach to Infinite Products Using Multiplicative Modulus Function
C. Ganesa Moorthy
The usual nonnegative modulus function is based on addition. A natural different modulus function on the set of positive reals is introduced. Arguments for results for series throu…
Lebesgue Spaces and Inclusion Relation
C. Ganesa Moorthy
The proofs of A. Villani on inclusion relations among classical Lebesgue spaces are dicussed. The techinque of using closed graph theorem, due to Villani, is applied to derive resu…
Reduction of Quasi-Lattices to Lattices
C. Ganesa Moorthy, SG. Karpagavalli
Quasi-lattices are introduced in terms of 'join' and 'meet' operations. It is observed that quasi-lattices become lattices when these operations are associative and when these oper…
Hausdorffness of General Compactifications
S. Ramkumar, C. Ganesa Moorthy
Magill proved that the remainders of two locally compact Hausdorff spaces in their StoneCech compactifications are homeomorphic if and only if the lattices of their Hausdorff compa…
Urysohn Lemmas in Topological Vector Spaces
S. Ramkumar, C. Ganesa Moorthy
Two variations of classical Urysohn lemma for subsets of topological vector spaces are obtained in this article. The continuous functions constructed in these lemmas are of quasi-c…