Journal of the Ramanujan Mathematical Society
Volume 40, Issue 4, December 2025 pp. 421–432.
Quasi-polyhedral convex bodies in locally convex spaces
Authors:
N. Prakash and M. Vimal Kumar
Author institution:Department of Mathematics, National Institute of Technology Tiruchirappalli, Trichy 620 015, Tamil Nadu, India.
Summary:
The present study extends the geometric property, called quasi-polyhedrality (QP) associated with
normed linear spaces to more general locally convex topological vector spaces (LCTVS). In LCTVS, we analyze
these quasi-polyhedral convex bodies with the aid of generated cones and investigate the stability of QP-property
under the product topology. Furthermore, we characterize the QP-points in dual normed linear spaces using the
quotient space and an unbounded sequence of closed balls.
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