Continuous biframes in Hilbert Spaces

2023/12/12 by Massit, Hafida, Eljazzar, Roumaissae, Rossafi, Mohamed
#41A58 #42C15 #46L05 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2312.06905

Abstract

In this paper, we present the concept of continuous biframes in a Hilbert space. We examine the essential properties of biframes with an emphasis on the biframe operator. Moreover, we introduce a new type of Riesz bases, referred to as continuous biframe-Riesz bases.

Related

• Continuous K-biframes in Hilbert spaces
• Introduction to Continuous biframes in Hilbert spaces and their tensor products
• Continuous K-biframes in Hilbert spaces and their tensor products
• K-biframes in Hilbert spaces
• Continuous bi-g-frames for operators in Hilbert spaces