Tensor Product of Spaces with Generalized 2-Inner Product

Authors

  • Luis Mario Moreno Arroyo University of Sucre
  • Osmin Oberto Ferrer Villar University of Sucre
  • Arley Yessit Sierra Acosta University of Sucre and Caribbean University Corporation-CECAR

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.6613

Keywords:

Tensor product, generalized 2-inner product, 2-norm

Abstract

In this work, we introduce the notion of tensor product of spaces with a generalized 2-inner product (see Definition 5), and we establish several interesting properties (see Proposition5), thereby generalizing the classical properties of the tensor product of inner product spaces. Moreover, we equip this tensor product with a mapping that defines a generalized 2-inner product
(see Theorem 3) and, consequently, endow it with a generalized 2-norm (see Theorem 1). In this context, we also define the tensor product of linear operators (see Definition 9) and prove a series of results for example, that the tensor product of two 2-bounded linear operators is again 2-bounded under the tensor product (see Proposition 10).

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Published

2025-11-05

Issue

Vol. 18 No. 4: (October 2025)

Section

Functional Analysis

License

Copyright (c) 2025 Luis Mario Moreno Arroyo, Osmin Oberto Ferrer Villar, Arley Yessit Sierra Acosta

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How to Cite

Tensor Product of Spaces with Generalized 2-Inner Product. (2025). European Journal of Pure and Applied Mathematics, 18(4), 6613. https://doi.org/10.29020/nybg.ejpam.v18i4.6613