A generalized notion of convergence of sequences of subspaces in an inner product space via ideals

2024/03/21 by Malik, Prasanta, Das, Saikat
#40A35 #46B20 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 40A05 #Secondary 15A63

paper · doi:10.48550/arxiv.2403.14357

Abstract

In this paper we introduce the notion of I-convergence of sequences of k-dimensional subspaces of an inner product space, where I is an ideal of subsets of N, the set of all natural numbers and k in N. We also study some basic properties of this notion.

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