Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with fa.functional-analysis
Search options not deleted
user 5734
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
4
votes
positive functional on Banach *-algebra (with appro. identity) is continuous?
F. F. Bonsall & J. Duncan, Complete Normed Algebras, Springer 1973: §37, Star Representations and Positive Functionals, Theorem 15 (p. 201).
Let $A$ (a Banach star algebra) have a bounded two-sided a …
- 2,545
1
vote
Reference for "Every compact quasinilpotent operator is the limit of nilpotent ones"
Halmos's BAMS paper's references include: R. G. Douglas and Carl Pearcy, A note on quasitriangular operators, Duke Math. J. 37 (1970), 177–188.
- 2,545
7
votes
Accepted
Continuity of the involution in Banach *-algebras
For 1), this is § 36 (pp. 190) of Bonsall & Duncan: The following are equivalent for a Banach *-algebra $A$, and the set $\text{Sym}(A')$ of all continuous self-adjoint linear functionals on $A$
Th …
- 2,545
3
votes
Accepted
A nilpotency question on $C^{*}$ algebras
I'm not sure if this is useful: If your $C^*$-algebra also has a non-zero nilpotent element, then it will have nilpotent elements of all orders, it is not (algebraically) of bounded index, so does not …
- 2,545
4
votes
Orthogonality in non-inner product spaces
Concerning your follow-up question (iii) there is the following very nice result: For Birkhoff-James orthogonality
it is easy to find examples where $y\perp x$ but
$\left\|x\right\|/\left\|x+\alpha …
- 2,545