List questions from banach-algebras

117

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Why is functional calculus called functional calculus? What does functional mean in functional calculus?

Published on 24 Feb 2026 - 10:12

56

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Equality of norm $||L_{xy}|| = ||L_x \cdot L_y||$?

Published on 17 Jun 2021 - 15:30

92

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Simple algebras

Published on 19 Jun 2021 - 20:01

159

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Unitization of (non-unital) subalgebras of a unital $C^*$-algebra

Published on 25 Jun 2021 - 22:22

24

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Prove that $(\ell_2, \|\cdot\|)$ with coordinate-wise product is semisimple

Published on 26 Jun 2021 - 9:43

203

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Gelfand-Naimark theorem fails for Banach algebras?

Published on 23 Feb 2026 - 6:38

84

Views

Positivity in $C^*$-algebra vs Riesz spaces

Published on 23 Feb 2026 - 12:03

94

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extending a trace from a subalgebra to the entire von Neumann algebra

Published on 31 Mar 2026 - 12:03

72

Views

Every character is a state?

Published on 10 Jul 2021 - 12:34

221

Views

Continuous functional calculus (Composition)

Published on 24 Feb 2026 - 10:11

31

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Operator Algebra on an Invariant Subset

Published on 16 Jul 2021 - 18:47

258

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Is closure of a proper ideal in a unital Banach algebra also proper?

Published on 17 Jul 2021 - 5:31

60

Views

Help with writing research proposal about topological divisor of zero

Published on 26 Mar 2026 - 12:35

216

Views

How does the 'reverse' implication follow here?

Published on 27 Mar 2026 - 2:32

39

Views

Is this subspace L-embedded?

Published on 26 Jul 2021 - 16:28

List Question

Why is functional calculus called functional calculus? What does functional mean in functional calculus?

Equality of norm $||L_{xy}|| = ||L_x \cdot L_y||$?

Simple algebras

Unitization of (non-unital) subalgebras of a unital $C^*$-algebra

Prove that $(\ell_2, \|\cdot\|)$ with coordinate-wise product is semisimple

Gelfand-Naimark theorem fails for Banach algebras?

Positivity in $C^*$-algebra vs Riesz spaces

extending a trace from a subalgebra to the entire von Neumann algebra

Every character is a state?

Continuous functional calculus (Composition)

Operator Algebra on an Invariant Subset

Is closure of a proper ideal in a unital Banach algebra also proper?

Help with writing research proposal about topological divisor of zero

How does the 'reverse' implication follow here?

Is this subspace L-embedded?

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