Asset Details
Do you wish to reserve the book?
Some New Applications of Berezin Symbols
Hey, we have placed the reservation for you!
By the way, why not check out events that you can attend while you pick your title.
Oops! Something went wrong.
Looks like we were not able to place the reservation. Kindly try again later.
Are you sure you want to remove the book from the shelf?
Some New Applications of Berezin Symbols
Do you wish to request the book?
Some New Applications of Berezin Symbols
Please be aware that the book you have requested cannot be checked out. If you would like to checkout this book, you can reserve another copy
We have requested the book for you!
Your request is successful and it will be processed during the Library working hours. Please check the status of your request in My Requests.
Oops! Something went wrong.
Looks like we were not able to place your request. Kindly try again later.
Journal Article
Some New Applications of Berezin Symbols
2023
Overview
We study some problems of operator theory by using Berezin symbols approach. Namely, we investigate in terms of Berezin symbols invariant subspaces of isometric composition operators on
H
Ω
.
We discuss operator corona problem, in particular, the Toeplitz corona problem. Further, we characterize unitary operators in terms of Berezin symbols. We show that the well known inequality
w
A
≥
1
2
A
for numerical radius is not true for the Berezin number of operators, which is defined by
ber
A
:
=
sup
λ
∈
Ω
A
~
λ
,
where
A
~
λ
:
=
A
k
^
λ
,
k
^
λ
is the Berezin symbol of operator
A
:
H
Ω
→
H
Ω
.
Finally, we provide a lower bound for
ber
A
.
Publisher
Springer International Publishing,Springer Nature B.V
