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22h
revised von Neumann algebra associated to the full group C*-algebra
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2d
comment Examples of algebras that have a bounded approximate identity
@Inquisitive, done.
2d
revised Examples of algebras that have a bounded approximate identity
added 91 characters in body
2d
comment Example of Measure of non-compactness?
Standard book: Józef Banaś, Kazimierz Goebel, Measures of noncompactness in Banach spaces, Institute of Mathematics, Polish Academy of Sciences, Warszawa 1979.
Aug
23
answered Examples of algebras that have a bounded approximate identity
Aug
23
revised Examples of algebras that have a bounded approximate identity
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Aug
23
revised Does $(\ell^{1}(\mathbb Z), \cdot)$ have a bounded approximate identity?
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Aug
23
comment How prove that $e^x=\sum_{k=0}^\infty \frac{x^k}{k!}$?
See also math.stackexchange.com/questions/1027974/…
Aug
23
reviewed Approve Find the equation of the tangent to the parabola $ 4x^2=y$ which is parallel to the line $4x+y-3=0$
Aug
22
revised Surjection of norms
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Aug
21
comment If equality of dual space of a Banach spaces implys the equality of pre-duals?
See this math.stackexchange.com/questions/966208/…
Aug
21
revised Surjection of norms
added 5 characters in body
Aug
21
answered Surjection of norms
Aug
20
comment Notation Clarification: $M\odot N$ for von Neumann algebras $M$ and $N$
Usually $\odot$ is used for the algebraic tensor product, whereas $\otimes$ is reserved for the minimal tensor product, or any other that is clear from the context.
Aug
15
answered When only eventually constant sequences are convergent?
Aug
15
revised Proof of the Banach–Alaoglu theorem
added 1 character in body; edited title
Aug
15
reviewed Approve How do I show the existence of a weakly inaccessible cardinal is not provable in ZFC?
Aug
14
comment Bounded operators with prescribed range - part II
@Markus, Let $X$ and $Y$ be separable Banach spaces. I claim that there is an injective nuclear operator $T\colon X\to Y$ with dense range. Let $(y_n)_{n=1}^\infty$ be a sequence that is dense in the unit sphere of $Y$. Choose a sequence $(f_n)_{n=1}^\infty$ in the unit ball of $X^*$ that is total. Let $Tx = \sum_{n=1}^\infty \tfrac{1}{2^n} \langle x, f_n\rangle y_n$. Clearly $T$ is injective as $(f_n)_{n=1}^\infty$ is total. The range of $T$ is dense in $Y$.
Aug
14
revised What is the difference between operators, functions, sequences and vectors?
edited tags
Aug
14
reviewed Approve Factorization and conditional independence