Continuous $k$-Fusion Frames in Hilbert Spaces
Journal: Sahand Communications in Mathematical Analysis (Vol.17, No. 1)Publication Date: 2020-01-01
Authors : Vahid Sadri; Reza Ahmadi; Mohammad Jafarizadeh; Susan Nami;
Page : 39-55
Keywords : Fusion frame; $k$-fusion frame; c$k$-fusion frame; Q-duality;
Abstract
The study of the c$k$-fusions frames shows that the emphasis on the measure spaces introduces a new idea, although some similar properties with the discrete case are raised. Moreover, due to the nature of measure spaces, we have to use new techniques for new results. Especially, the topic of the dual of frames which is important for frame applications, have been specified completely for the continuous frames. After improving and extending the concept of fusion frames and continuous frames, in this paper we introduce continuous $k$-fusion frames in Hilbert spaces. Similarly to the c-fusion frames, dual of continuous $k$-fusion frames may not be defined, we however define the $Q$-dual of continuous $k$-fusion frames. Also some new results and the perturbation of continuous $k$-fusion frames will be presented.
Other Latest Articles
- A Version of Favard's Inequality for the Sugeno Integral
- Caristi Type Cyclic Contraction and Coupled Fixed Point Results in Bipolar Metric Spaces
- Effect of Repairing with Retrofit Method (Concrete Jacketing) Using Bamboo Reinforcement on Flexural Capacity of Reinforced Concrete Beam with Initial Damage Variation
- Design of Continuous Auditing Application as a Tool to Increase Supervision of Operational Activities Institutions Social Security in Indonesia
- The Relationship between International Quality Certification and Technology Innovation in Vietnamese SMEs
Last modified: 2020-06-16 17:02:43