Skew Hermitian operators on real symmetric sequence spaces

In this paper, we explore the properties of skew-Hermitian operators on real symmetric sequence spaces, particularly focusing on their triviality in spaces other than 2 (R).While the primary analysis lies within the realm of functional analysis, we aim to assess the potential connections and relevance of these findings in quantum computing and broader fields of computer science.By analyzing the properties of skew-Hermitian operators, we uncover implications for operator theory, quantum mechanical models, and computational applications, thus highlighting the importance of these results in theoretical and practical frameworks.