List questions from banach-algebras

Published on 08 Jul 2014 - 2:25

222

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$\int_{\mathbb R^{2}} |\int_{\mathbb R} (f(t-y)- f(t)) g(t-x) e^{-2\pi i w\cdot t} dt|dx dw \to 0 $ as $y\to 0$?

Published on 08 Jul 2014 - 11:55

137

Views

C*-algebra representations

Published on 12 Jul 2014 - 19:21

869

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Spectrum of normal elements in C*-algebras

Published on 13 Jul 2014 - 3:04

364

Views

Can we expect, $S(\mathbb R)\ast L^{p}(\mathbb R) \subset L^{p}(\mathbb R), (1<p<\infty) $?

Published on 16 Jul 2014 - 16:23

220

Views

On the spectrum of a product in a Banach algebra, in specific case

Published on 22 Jul 2014 - 1:54

123

Views

Show that P is an L-projection iff $P^{*}$ is an M-projection

Published on 25 Jul 2014 - 20:47

171

Views

can we expect a bounded approximate identity in $L^{1}(\mathbb R)$, whose Fourier transform at particular point is zero?

Published on 26 Jul 2014 - 6:52

79

Views

How to prove that this inequality holds

Published on 28 Jul 2014 - 8:47

154

Views

Using Stone–Weierstrass theorem for completely regular space

Published on 29 Jul 2014 - 16:22

358

Views

Bounded approximate identities in one-sided ideals of $L_1(G)$

Published on 23 Feb 2026 - 2:12

137

Views

Extension theory and automorphism extension

Published on 10 Aug 2014 - 6:30

1.4k

Views

Characterizing C* algebra generated by elements.

Published on 19 Aug 2014 - 15:18

736

Views

Why is the Gelfand transform injective?

Published on 22 Aug 2014 - 12:27

255

Views

If $a\in\mathcal {A},$ and $\Vert a\Vert <1$, then $e-a$ is regular element of Banach algebra $\mathcal{A}$ with unit $e$.

Published on 26 Aug 2014 - 14:39

List Question

How to prove $F$ is a contraction mapping?

$\int_{\mathbb R^{2}} |\int_{\mathbb R} (f(t-y)- f(t)) g(t-x) e^{-2\pi i w\cdot t} dt|dx dw \to 0 $ as $y\to 0$?

C*-algebra representations

Spectrum of normal elements in C*-algebras

Can we expect, $S(\mathbb R)\ast L^{p}(\mathbb R) \subset L^{p}(\mathbb R), (1<p<\infty) $?

On the spectrum of a product in a Banach algebra, in specific case

Show that P is an L-projection iff $P^{*}$ is an M-projection

can we expect a bounded approximate identity in $L^{1}(\mathbb R)$, whose Fourier transform at particular point is zero?

How to prove that this inequality holds

Using Stone–Weierstrass theorem for completely regular space

Bounded approximate identities in one-sided ideals of $L_1(G)$

Extension theory and automorphism extension

Characterizing C* algebra generated by elements.

Why is the Gelfand transform injective?

If $a\in\mathcal {A},$ and $\Vert a\Vert <1$, then $e-a$ is regular element of Banach algebra $\mathcal{A}$ with unit $e$.

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