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math.GM2022
Reflexivity of a Banach Space with a Countable Vector Space Basis
Michael Oser Rabin, Duggirala Ravi
All most all the function spaces over real or complex domains and spaces of sequences, that arise in practice as examples of normed complete linear spaces (Banach spaces), are refl…
math.GM2021
Compactness of any Countable Product of Compact Metric Spaces in Product Topology without Using Tychonoff's Theorem
Garimella Sagar, Duggirala Ravi
For infinite products of compact spaces, Tychonoff's theorem asserts that their product is compact, in the product topology. Tychonoff's theorem is shown to be equivalent to the ax…