The Spectral Analysis of a Nuclear Resolvent Operator Associated With a Second Order Dissipative Differential Operator
| dc.contributor.author | Bairamov, Elgiz | |
| dc.contributor.author | Ugurlu, Ekin | |
| dc.date.accessioned | 2018-09-12T08:04:18Z | |
| dc.date.accessioned | 2025-09-18T14:08:41Z | |
| dc.date.available | 2018-09-12T08:04:18Z | |
| dc.date.available | 2025-09-18T14:08:41Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | In this paper, we introduce a new approach for the spectral analysis of a linear second order dissipative differential operator with distributional potentials. This approach is related with the inverse operator. We show that the inverse operator is a non-selfadjoint trace class operator. Using Lidskii's theorem, we introduce a complete spectral analysis of the second order dissipative differential operator. Moreover, we give a trace formula for the trace class integral operator. | en_US |
| dc.identifier.citation | Uğurlu, E. (2017). The spectral analysis of a nuclear resolvent operator associated with a second order dissipative differential operator. Computational Methods And Function Theory, 17(2), 237-253. http://dx.doi.org/10.1007/s40315-016-0185-8 | en_US |
| dc.identifier.doi | 10.1007/s40315-016-0185-8 | |
| dc.identifier.issn | 1617-9447 | |
| dc.identifier.issn | 2195-3724 | |
| dc.identifier.scopus | 2-s2.0-85019252476 | |
| dc.identifier.uri | https://doi.org/10.1007/s40315-016-0185-8 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13179 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Heidelberg | en_US |
| dc.relation.ispartof | Computational Methods and Function Theory | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Dissipative Operator | en_US |
| dc.subject | Trace Class Operator | en_US |
| dc.subject | Nuclear Operator | en_US |
| dc.subject | Hilbert-Schmidt Operator | en_US |
| dc.subject | Completeness Theorem | en_US |
| dc.title | The Spectral Analysis of a Nuclear Resolvent Operator Associated With a Second Order Dissipative Differential Operator | en_US |
| dc.title | The spectral analysis of a nuclear resolvent operator associated with a second order dissipative differential operator | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 36661368600 | |
| gdc.author.scopusid | 6701445915 | |
| gdc.author.wosid | Bairamov, Elgiz/Aaf-6575-2020 | |
| gdc.author.yokid | 238990 | |
| gdc.bip.impulseclass | C5 | |
| gdc.bip.influenceclass | C5 | |
| gdc.bip.popularityclass | C5 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ugurlu, Ekin] Cankaya Univ, Dept Math, Fac Arts & Sci, TR-06530 Ankara, Turkey; [Bairamov, Elgiz] Ankara Univ, Dept Math, TR-06100 Ankara, Tandogan, Turkey | en_US |
| gdc.description.endpage | 253 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 237 | en_US |
| gdc.description.volume | 17 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W2543380496 | |
| gdc.identifier.wos | WOS:000401442100004 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 1.0 | |
| gdc.oaire.influence | 3.0520018E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | dissipative operator | |
| gdc.oaire.keywords | nuclear operator | |
| gdc.oaire.keywords | General theory of ordinary differential operators | |
| gdc.oaire.keywords | Hilbert-Schmidt operator | |
| gdc.oaire.keywords | Spectrum, resolvent | |
| gdc.oaire.keywords | Linear accretive operators, dissipative operators, etc. | |
| gdc.oaire.keywords | completeness theorem | |
| gdc.oaire.keywords | Nonselfadjoint operator theory in quantum theory including creation and destruction operators | |
| gdc.oaire.keywords | Weyl theory and its generalizations for ordinary differential equations | |
| gdc.oaire.keywords | trace class operator | |
| gdc.oaire.popularity | 2.5816467E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.openalex.collaboration | National | |
| gdc.openalex.fwci | 0.93177195 | |
| gdc.openalex.normalizedpercentile | 0.8 | |
| gdc.opencitations.count | 6 | |
| gdc.plumx.crossrefcites | 3 | |
| gdc.plumx.mendeley | 1 | |
| gdc.plumx.scopuscites | 5 | |
| gdc.publishedmonth | 6 | |
| gdc.scopus.citedcount | 5 | |
| gdc.virtual.author | Uğurlu, Ekin | |
| gdc.wos.citedcount | 5 | |
| relation.isAuthorOfPublication | 3ed3f5e7-664c-4705-8ea5-43fa2a1f53d3 | |
| relation.isAuthorOfPublication.latestForDiscovery | 3ed3f5e7-664c-4705-8ea5-43fa2a1f53d3 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |