On Bounded Linear Operations in b-Hilbert Spaces and their Numerical Ranges

Authors

  • Mahnaz Khanehgir Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.
  • Firoozeh Hasanvand

Keywords:

bounded linear operator, b-Hilbert space, 2-inner product space, 2-normed space, numerical range, numerical radius.

Abstract

In this paper, we introduce the notions of b-bounded linear operator, b-numericalrange and b-numerical radius in a b-Hilbert space and describe some of their properties. Thenwe will show that this new numerical range (radius) can be considered as a usual numericalrange (radius) in a Hilbert space, so it shares many useful properties with numerical range(radius).

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Published

2015-08-15

How to Cite

Khanehgir, M., & Hasanvand, F. (2015). On Bounded Linear Operations in b-Hilbert Spaces and their Numerical Ranges. Asian Journal of Fuzzy and Applied Mathematics, 3(4). Retrieved from https://ajouronline.com/index.php/AJFAM/article/view/2875

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