Some Results on Generalized Frame Operators Associated with a Fixed Element in 2-Hilbert Spaces.
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| Title: | Some Results on Generalized Frame Operators Associated with a Fixed Element in 2-Hilbert Spaces. |
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| Source: | IAENG International Journal of Applied Mathematics. Apr2026, Vol. 56 Issue 4, p1446-1453. 8p. |
| Subjects: | Hilbert space, Selfadjoint operators, Operator theory |
| Abstract: | H is a 2-Hilbert space and ξ∈ H is a fixed element in H. The gξframe for 2- Hilbert space with family of operators{Λj,ξ}j∈J is introduced. gξ-tight frame, normalized tight frames with respect to a fixed ξ∈ H are defined. Examples of gξ-framesare given. A gξ-frame operator ... is introduced. The results of the ...-frame operator and its inverse are presented. It is shown that ... is a positive operator and self-adjoint operator. Canonical dual gξ-frame for 2-Hilbert space His established with a family of operators ... where .... For a subset I of J, frame operators ... and ... are defined and some results on these operators are proved. [ABSTRACT FROM AUTHOR] |
| Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 192720731 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Some Results on Generalized Frame Operators Associated with a Fixed Element in 2-Hilbert Spaces. – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Apr2026, Vol. 56 Issue 4, p1446-1453. 8p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Hilbert+space%22">Hilbert space</searchLink><br /><searchLink fieldCode="DE" term="%22Selfadjoint+operators%22">Selfadjoint operators</searchLink><br /><searchLink fieldCode="DE" term="%22Operator+theory%22">Operator theory</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: H is a 2-Hilbert space and ξ∈ H is a fixed element in H. The gξframe for 2- Hilbert space with family of operators{Λj,ξ}j∈J is introduced. gξ-tight frame, normalized tight frames with respect to a fixed ξ∈ H are defined. Examples of gξ-framesare given. A gξ-frame operator ... is introduced. The results of the ...-frame operator and its inverse are presented. It is shown that ... is a positive operator and self-adjoint operator. Canonical dual gξ-frame for 2-Hilbert space His established with a family of operators ... where .... For a subset I of J, frame operators ... and ... are defined and some results on these operators are proved. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 8 StartPage: 1446 Subjects: – SubjectFull: Hilbert space Type: general – SubjectFull: Selfadjoint operators Type: general – SubjectFull: Operator theory Type: general Titles: – TitleFull: Some Results on Generalized Frame Operators Associated with a Fixed Element in 2-Hilbert Spaces. Type: main BibRelationships: IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 04 Text: Apr2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 19929978 Numbering: – Type: volume Value: 56 – Type: issue Value: 4 Titles: – TitleFull: IAENG International Journal of Applied Mathematics Type: main |
| ResultId | 1 |
