preprint · Research Square
Abstract The concept of operator frame can be considered as a generalization of frame. Firstly, we introduce the notion of operator frame for the set of all adjointable operators Hom ∗ A (X ) on a Hilbert pro-C ∗ -module X . The analysis operator, the synthesis operator and the frame operator are presented. Secondly, we study the stability of operator frame under small perturbations. We also study the tensor product of operator frame for Hilbert pro-C ∗ -modules. Finally, we establish its dual and some properties. AMS Subject Classification: Primary 42C15; 46L05
This page summarises published work. The authoritative version sits with the publisher.
DOI: 10.21203/rs.3.rs-2593743/v1
Is something wrong with this record? Report it or request removal.
Discussion
Have you built on this work, tried to replicate it, or seen it applied in practice? Share what you know. Verified researchers and MARATTO™ domain experts can open a discussion, and any member can reply. Contributions are reviewed before they appear.
No discussion yet. Open the first thread.
New to MARATTO™? Create a free account.
