A Study of Closure of An Operator
Journal Title: International Journal of Trend in Scientific Research and Development - Year 2020, Vol 5, Issue 1
Abstract
In this paper first we generalizes the Hilbert Adjoint of a linear operator and showed that it is always closed for any linear operator with the condition that the domain of the operator is dense. We also proved that Let J be a closed operator defined in H with dense domain then D J is dense and J = J . We also proves Closed graph theorem for complex Hilbert spaces as a corollary of our results. Praveen Sharma "A Study of Closure of An Operator" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-1 , December 2020, URL: https://www.ijtsrd.com/papers/ijtsrd37914.pdf Paper URL : https://www.ijtsrd.com/mathemetics/other/37914/a-study-of-closure-of-an-operator/praveen-sharma
Authors and Affiliations
Praveen Sharma
Keywords
Related Articles
- EP ID EP692207
- DOI -
- Views 107
- Downloads 0
Review of Historical and Temporary Challenges Facing Small and Medium Enterprises in Yemen
This paper aims at shedding the light on the obstacles and challenges that hamper the performance and contribution of small and medium enterprises in Yemen and their contribution to the economic development. It is based...
Chairside Diagnosis of Periodontal Diseases A Review
A good clinical diagnosis has always been the need of the hour. Proper diagnosis is essential for better treatment and planning of the diseases. Customary clinical estimations utilized for periodontal finding are regular...
A Review on Phytochemical and Pharmacological studies of Berberis Aristata
Phytochemical studies shows that plant Berberis aristata contains mainly yellow colored alkaloids Berberine, oxyberberine, berbamine, aromoline, a protoberberine alkaloid karachine, palmatine, oxycanthine and taxilamine...
Assessment of Security Analysis and Portfolio Management in Indian Stock Market
A portfolio is an assortment of protections. Since it is infrequently alluring to contribute the whole assets of an individual or a foundation in solitary security, it is basic that each security is seen in the portfolio...
The Queue Length of a GI M 1 Queue with Set Up Period and Bernoulli Working Vacation Interruption
Consider a GI M 1 queue with set up period and working vacations. During the working vacation period, customers can be served at a lower rate, if there are customers at a service completion instant, the vacation can be i...