Bibliographic Details
| Title: |
Some Results on Generalized Frame Operators Associated with a Fixed Element in 2-Hilbert Spaces. |
| 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] |
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| Database: |
Engineering Source |
