Selective Banach Vector Fields

Mohammad Mehrpooya   and Mohammadreza Molaei

doi:10.17485/ijst/2015/v8i8/69343

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2015/v8i8/69343

Year: 2015, Volume: 8, Issue: 8, Pages: 741–747

Original Article

Selective Banach Vector Fields

Mohammad Mehrpooya^1* and Mohammadreza Molaei ²

¹Department of Mathematics, Faculty of Basic Science University of Zabol, 98615 538, Zabol, Iran;mehrpooya@uoz.ac.ir

²Department of Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, 7616914111, Kerman, Iran

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

In this paper, the concept of tangent space for finite product of Cn m - selective Banach manifolds is introduced. Using this notion, the concept of differentiation of the mappings f : M0 → N0 is extended to the differentiation of the mappings g : M1 × M2 → N1 × N2 , where Mi and Ni are mi - selective and gi - selective Banach manifolds for i ∈ {0, 1, 2}, respectively. Moreover, the notions of vector field and tensor field over m - selective Banach manifolds are established.

Keywords: Observer, Selective Banach Manifold, Tangent Space, Tensor Field