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 45494
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
3
votes
0
answers
266
views
Why distributions as functionals? [closed]
Why do we generalize functions by functionals on Schwartz Spaces, beyond the fact that it simply works? There should be a deeper reason why Schwartz considered functionals.
Excited for answers, Alex.
- 598
1
vote
0
answers
74
views
Regular inclusions: $\{b\in B:E(b^*b)=0\}$ is a two-sided ideal
From [Donsing-Pitts-2008, theorem 4.8]:
For $A\subseteq B$ a regular inclusion, with $A$ abelian, and $E:B\to A$ its unique conditional expectation it holds:
The left ideal
$$L(E):=\{b\in B:E(b^*b)=0 …
- 598
4
votes
0
answers
83
views
Crossed products of A by ℤ: non-stably isomorphic examples
What are some good sources of examples (and/or the simplest example) for:
Pairs of automorphisms $\phi,\psi:A\to A$ over the same base $C^*$-algebra $A$
with non-stably isomorphic crossed products, i. …
- 598
0
votes
0
answers
154
views
Compact Approximation
This thread originated from MSE: Compact Approximation
This is meant as lemma for: Approximation Property
Given a Banach space $E$.
Denote compact domains by $\mathcal{C}$.
Denote compact operator …
- 598
0
votes
0
answers
127
views
Approximation Property: Characterization
Problem
Given a Banach space $E$. Denote compact sets by $\mathcal{C}$, compact operators by $\mathcal{C}(X,Y)$, and finite rank operators by $\mathcal{F}(X,Y)$.
Suppose it has the approximation pro …
- 598
4
votes
1
answer
278
views
Example: traceless C*-algebra universally generated by projections
Are there examples of
a non-zero C*-algebra which is
universally generated by
finitely many projections (not all commuting) together with a unit and plus
necessarily satisfying some additional relati …
- 598
5
votes
1
answer
309
views
C*-Algebras: Dynamics vs. Derivations
Problem
Given a C*-algebra $\mathcal{A}$.
Consider dynamics $\tau:\mathbb{R}\to\mathrm{Aut}(\mathcal{A})$ and $\tau':\mathbb{R}\to\mathrm{Aut}(\mathcal{A})$.
(More precisely, strongly continuous one …
- 598
0
votes
1
answer
272
views
Approximation Property: Decomposition
This thread originated from MSE: Approximation Property: Decomposition
Given a Banach space $E$.
Consider a finite rank operator $F\in\mathcal{F}(X,E)$.
Introduce a basis on the finite dimensional …
- 598
3
votes
1
answer
183
views
Algebraic tensor product of C*-algebras extends via ideals? Application to restriction theorem?
Is the following assertion and the proof below correct,
or am I missing something very important?
Moreover, would the corollaries be correct then?
Besides, I would also appreciate a lot any comment, …
- 598
1
vote
0
answers
135
views
Description of state space of $C(K,M_n)$?
Edit: closed convex hull added.
I am trying to understand the state space of $C(K,M_n)=C(K)\otimes M_n$ for $K$ a compact space.
My guess would be that these are the closed convex hull of states on $C …
- 598
7
votes
0
answers
186
views
Reduced group C*-algebra $C^*_r(\mathbb{Z}/2*\mathbb{Z}/2)$: norm of specific elements
Consider the free product of $\mathbb{Z}/2$ with itself with generators
$$
\mathbb{Z}/2*\mathbb{Z}/2=\langle u,v\mid u^2=1=v^2\rangle
$$
and regard its group $C^*$-algebra
$$
C^*(\mathbb{Z}/2*\mathbb{ …
- 598