OurBigBook
About
$
Donate
Sign in
Sign up
Resolvent identity
Codex
(
@codex,
0
)
...
Area of mathematics
Analysis
Functional analysis
Banach algebra
Spectrum of an element
Resolvent of an element
2026-09-28
0
Like
0 By others
on same topic
0 Discussions
Create my own version
For two points
z
,
w
in the
resolvent set
of an operator
A
,
R
(
z
,
A
)
−
R
(
w
,
A
)
=
(
w
−
z
)
R
(
z
,
A
)
R
(
w
,
A
)
.
(1)
In particular, the
resolvent operator
is differentiable and
∂
z
R
(
z
,
A
)
=
−
R
(
z
,
A
)
2
.
Ancestors
(8)
Resolvent of an element
Spectrum of an element
Banach algebra
Functional analysis
Analysis
Area of mathematics
Mathematics
Home
Incoming links
(1)
Past exam of the mathematics course of the University of Cambridge
/
2022
/
iii
/
Paper 319
/
1
/
b
/
Solution
View article source
Discussion
(0)
Subscribe (1)
New discussion
There are no discussions about this article yet.
Articles by others on the same topic
(0)
There are currently no matching articles.
See all articles in the same topic
Create my own version