Bijective Additive Singularity or Invertibility Preservers on Hermitian Matrices

Abstract

Let M n be the set of all n x n complex matrices, and H n be all Hermitian matrices in M n .Suppose n  2 ,  is a bijective additive map on H n which maps the set of singular or invertible matrices into itself. Then there exists an invertible matrix P M n and a constant

Authors and Affiliations

Lin Deng, PeiJin Wang, Jin Li Xu

Keywords

Related Articles

An Innovative Technique to Utilize E-Plastic as Construction Material: A Review

Rapid growth of technology, up gradation in latest innovation of electrical industry in 21st century has led one of fastest growing waste stream in world commonly known as E waste. People became so techno geek that they...

Theoritical Investigaion Of Natural Convection Heat Transfer In Heated Vertical Tubes

An theoretical investigation of natural convection heat transfer in heated vertical ducts dissipating heat from the internal surface is presented. The ducts are open-ended and circular in cross section. The test section...

Fingerprint Based Security System using GSM Module

This paper mainly focuses on using wireless technology for security effectively. The system is SMS-based and uses biometric technology to revolutionize the standards of security. It uses a GSM Modem to send an SMS to the...

Technology and Key Strategy of IE4 Permanent Magnet Brushless DC Motor Drive for Electric Vehicle Application

Environmental protection and energy conservations are the main concern of 21st century Asia Pacific developing countries. This concern has compelled to design and develop zero pollution road transportation Electric Vehic...

On Zα-Open Sets and Decompositions of Continuity

In this paper, we introduce and study the notion of Zα-open sets and some properties of this class of sets are investigated. Also, we introduce the class of A *L-sets via Zα-open sets. Further, by using these sets, a new...

Download PDF file
  • EP ID EP431451
  • DOI 10.9790/9622-0812012125.
  • Views 129
  • Downloads 0

How To Cite

Lin Deng, PeiJin Wang, Jin Li Xu (2018). Bijective Additive Singularity or Invertibility Preservers on Hermitian Matrices. International Journal of engineering Research and Applications, 8(12), 21-25. https://europub.co.uk/articles/-A-431451