2024/01/15 by Ghosh, Prasenjit, Samanta, T. K.
#46C50 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 42C15 #Secondary 46C07
paper · doi:10.48550/arxiv.2402.04257
A generalization of continuous biframe in a Hilbert space is introduced and a few examples are discussed. Some characterizations and algebraic properties of this biframe are given. Here we also construct various types of continuous K-biframes with the help of a bounded linear operator. Relationship between continuous K-biframe and quotient operator is established. Finally, we define continuous K-biframe for the tensor products of Hilbert spaces and give an example.