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Subba Rao, M. V.
- On the Existence of a Norm Weaker than a Given Family of Norms on a Vector Space
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1 S. V. University, Tirupati, IN
1 S. V. University, Tirupati, IN
Source
The Journal of the Indian Mathematical Society, Vol 22, No 2 (1958), Pagination: 53-58Abstract
Let Ni(x) be a sequence of norms defined over a vector space E. Let us consider all those linear topologies T over E which are weaker than Ni(x) for all i. (For brevity Ni(x) is used to denote the norm as well as the corresponding topology). These include the lattice product tolopogy [3] of the Ni(x), i.e. the strongest topology weaker than each of the Ni(x) topologies.- A Property of Transformations over a Sequence of Spaces
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1 S. V. University, Tirupati, IN
1 S. V. University, Tirupati, IN
Source
The Journal of the Indian Mathematical Society, Vol 22, No 2 (1958), Pagination: 59-64Abstract
The object of this paper is to show that a theorem on linear continuous transformations on the space of integral functions proved by V. Ganapathy Iyer [1] holds substantially for general normed vector spaces, and to obtain an extension of the result for transformations from a directed family topologies directed by the relation "weaker than" defined on a vector space E to a family of locally bounded topologies defined over another vector space V.- Ramanujan's Trigonometrical Sum and Relative Partitions
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1 Presidency College, Madras, IN
1 Presidency College, Madras, IN
Source
The Journal of the Indian Mathematical Society, Vol 15 (1951), Pagination: 57-64Abstract
This paper arose out of a study of Ramanujan's trigonometrical sum Cm(n) defined by[4]
Cm(n)=Σ Σλn (1)
where ρ=e2πi/m and λ runs though a complete system of representatives of the prime residue classes mod m.
- On Generalized Legendre Polynomials
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1 University of Madras, IN
1 University of Madras, IN