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Near continuous g-frames for Hilbert C∗-modules.
- Source :
-
Journal of Mathematical Extension . 2019, Vol. 13 Issue 4, p131-142. 12p. - Publication Year :
- 2019
-
Abstract
- Let U be a Hilbert A-module and L(U) the set of all adjointable A-linear maps on U. Let K = {Λx ∈ L(U, Vx) : x ∈ X } and L = {Γx ∈ L(U, Vx) : x ∈ X } be two continuous g-frames for U, K is said to be similar with L if there exists an invertible operator J ∈ L(U) such that Γx = ΛxJ, for all x ∈ X . In this paper, we define the concepts of closeness and nearness between two continuous g-frames. In particular, we show that K and L are near, if and only if they are similar. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HILBERT space
*LINEAR operators
*NONLINEAR operators
*MATHEMATICS
*MAPS
Subjects
Details
- Language :
- English
- ISSN :
- 17358299
- Volume :
- 13
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Extension
- Publication Type :
- Academic Journal
- Accession number :
- 141617019