2 citations · 6 across the 10 of their papers we have counts for
10 papers
Life without "Choice"
M. A. Sofi
We propose an AC-independent proof of the existence of a non-measurable set as a consequence of the Hahn-Banach theorem of functional analysis which is known to be strictly weaker…
Implications of an affirmative solution to the Lindenstrauss Problem
M. A. Sofi
The question regarding the location of Banach spaces inside their biduals has been investigated and answered reasonably satisfactorily in the linear theory of Banach spaces. Thus,…
On some new metric characterisations of Hilbert spaces
M. A. Sofi
In the literature surrounding the theory of Banach spaces, considerable effort has been invested in exploring the conditions on a Banach space X that characterise X as being an inn…
Nonlinear retracts and the geometry of Banach spaces
M. A. Sofi
In the nonlinear geometry of Banach spaces where the objects in the category are Banach spaces as in the linear case, the morphisms in the new setting are taken to comprise of cert…
Extension operators and nonlinear structure of Banach spaces
M. A. Sofi
The problem involving the extension of functions from a certain class and defined on subdomains of the ambient space to the whole space is an old and a well investigated theme in a…
Embeddability, representability and universality involving Banach spaces
M. A. Sofi
Given a category of objects, it is both useful and important to know if all the objects in the category may be realised as sub-objects -- via morphisms in the given category -- of…