%0 Journal Article %1 noauthororeditor %A Sharma, Praveen %D 2020 %J International Journal of Trend in Scientific Research and Development %K Closable Closure Operatorextension Separable %N 1 %P 354-356 %T A Study of Closure of An Operator %U https://www.ijtsrd.com/mathemetics/other/37914/a-study-of-closure-of-an-operator/praveen-sharma %V 5 %X 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 Ä 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

@article{noauthororeditor, 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 }, added-at = {2021-01-28T11:29:14.000+0100}, author = {Sharma, Praveen}, biburl = {https://www.bibsonomy.org/bibtex/2828ed35a4cff99d03ccc17ecbb6d6402/ijtsrd}, interhash = {d8097949e6f5cc404bcf81ee3c895b59}, intrahash = {828ed35a4cff99d03ccc17ecbb6d6402}, issn = {2456-6470}, journal = {International Journal of Trend in Scientific Research and Development}, keywords = {Closable Closure Operatorextension Separable}, language = {English}, month = nov, number = 1, pages = {354-356}, timestamp = {2021-01-28T11:29:14.000+0100}, title = {A Study of Closure of An Operator }, url = {https://www.ijtsrd.com/mathemetics/other/37914/a-study-of-closure-of-an-operator/praveen-sharma}, volume = 5, year = 2020 }