List questions from banach-algebras

Published on 15 May 2015 - 8:19

699

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Prove Operator is a Projector

Published on 20 May 2015 - 21:44

769

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Countable set in a Banach space which spans densely?

Published on 24 May 2015 - 23:12

240

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Prove that disk algebra is isomorphic to the closure of $\mathbb{C}(z)$ in $C(\mathbb{T})$.

Published on 25 May 2015 - 18:58

427

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Algebra with element having empty spectrum?

Published on 27 May 2015 - 10:01

95

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The Gelfand and norm topologies are equal on the character space of $L^1(\mathbb Z)$

Published on 30 May 2015 - 8:06

756

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On existence of square root of positive elements of a unital $C^*$-algebra

Published on 31 May 2015 - 9:10

41

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Elements near the identity of a linear subspace

Published on 31 May 2015 - 13:33

271

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Maximal ideal space of $L^{\infty}(m)$ separable?

Published on 10 Jun 2015 - 12:20

176

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Jordan-homomorphism; equivalent properties

Published on 10 Jun 2015 - 16:05

37

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equivalence of properties. Is the restriction in (ii) redundant?

Published on 12 Jun 2015 - 9:06

92

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Completely positive, orthogonaly preserving maps

Published on 13 Jun 2015 - 12:30

170

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example of the arens multiplication; I want to understand the construction

Published on 17 Jun 2015 - 8:07

158

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intersection of a multiplier algebra with a commutant of a $C^*$-algebra

Published on 18 Jun 2015 - 7:59

204

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Prove that, in a $C^*$-algebra, if a self-adjoint $a$ has infinite spectrum, then the algebra is infinite-dimensional

Published on 20 Jun 2015 - 7:30

List Question

$||a||\leq \sup_{||b||\leq 1} ||ab||$ in a C*-algebra

Prove Operator is a Projector

Countable set in a Banach space which spans densely?

Prove that disk algebra is isomorphic to the closure of $\mathbb{C}(z)$ in $C(\mathbb{T})$.

Algebra with element having empty spectrum?

The Gelfand and norm topologies are equal on the character space of $L^1(\mathbb Z)$

On existence of square root of positive elements of a unital $C^*$-algebra

Elements near the identity of a linear subspace

Maximal ideal space of $L^{\infty}(m)$ separable?

Jordan-homomorphism; equivalent properties

equivalence of properties. Is the restriction in (ii) redundant?

Completely positive, orthogonaly preserving maps

example of the arens multiplication; I want to understand the construction

intersection of a multiplier algebra with a commutant of a $C^*$-algebra

Prove that, in a $C^*$-algebra, if a self-adjoint $a$ has infinite spectrum, then the algebra is infinite-dimensional

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