# A New Semi-Inner Product and pn-Angle in the Space of p-Summable Sequences
> Nur M.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_85166232223
Jurnal / Konferensi: Mathematics
Tahun terbit: 2023
DOI: https://doi.org/10.3390/math11143139
ISSN: 22277390
Kuartil SJR: Q2
Citations: 3

## Authors
- Nur M.

## Abstract
In this paper, we propose a definition for a semi-inner product in the space of p-summable sequences equipped with an n-norm. Using this definition, we introduce the concepts of pn-orthogonality and the pn-angle between two vectors in the space of p-summable sequences. For the special case n = 1, these concepts are identical to previous studies. We also introduce the notion of the pn-angle between one-dimensional subspaces and arbitrary-dimensional subspaces. The authors believe that the results obtained in this paper are very significant, especially in the theory of n-normed space in functional analysis.

## Keywords
- Inner product space
- Linear subspace
- Orthogonality
- Normed vector space
- Mathematics
- Space (punctuation)
- Product (mathematics)
- Norm (philosophy)
- Vector space
- Pure mathematics
- Combinatorics
- Computer science
- Geometry
- Epistemology
- Operating system
- Philosophy

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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