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Sesquilinear version of numerical range and numerical radius

Hamid Reza Moradi

Hamid Reza Moradi

Young Researchers and Elite Club, Mashhad Branch, Islamic Azad UniversityMashhad,
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Moradi, Hamid Reza
, 
Mohsen Erfanian Omidvar

Mohsen Erfanian Omidvar

Department of Mathematics, Mashhad Branch, Islamic Azad University
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Omidvar, Mohsen Erfanian
, 
Silvestru Sever Dragomir

Silvestru Sever Dragomir

Mathematics, College of Engineering and Science, Victoria UniversityAustralia
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Dragomir, Silvestru Sever
 and 
Mohammad Saeed Khan

Mohammad Saeed Khan

Department of Mathematics & Statistics, Sultan Qaboos UniversityOman
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Khan, Mohammad Saeed
  
Mar 07, 2018
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Published Online: Mar 07, 2018
Page range: 324 - 335
Received: Dec 08, 2016
DOI: https://doi.org/10.1515/ausm-2017-0024
Keywords
© 2017 Hamid Reza Moradi et al., published by De Gruyter Open
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper by using the notion of sesquilinear form we introduce a new class of numerical range and numerical radius in normed space đť’±, also its various characterizations are given. We apply our results to get some inequalities.

Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, General Mathematics
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