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Results tagged with fa.functional-analysis
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user 36677
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
7
votes
Reference for invariance of essential spectrum under relatively compact perturbations
As an answer to this question (which I spent quite a while longer looking for) I found the following reference: http://evm.ivic.gob.ve/libropaiena.pdf, a book written by Pietro Aiena.
This book is wo …
- 191
12
votes
2
answers
2k
views
Reference for invariance of essential spectrum under relatively compact perturbations
I'm looking for a proof of the following statement:
Let $X$ be a Banach space and $T$ be a closed map on $X$. For any relatively compact map $A$ the essential spectrum of $T$ and $T+A$ are the same.
…
- 191