List questions from functional-calculus

Published on 15 Apr 2013 - 22:34

436

Views

The spectrum of an invertible element $x$ is $\sigma(x^{-1})=\{\lambda^{-1}: \lambda\in \sigma(x)\}$

Published on 21 May 2013 - 11:40

1.1k

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When does a PDE solve a variational problem?

Published on 01 Jun 2013 - 16:36

450

Views

If $a$ and $b$ commute in a $C^*$-algebra and $a$ is normal, then $f(a)$ and $b$ commute for any continuous $f$

Published on 11 Oct 2013 - 19:11

145

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why for every $ f\in C(\sigma(x))$ we have $ \Phi (f(x))= f(\Phi(x))$?

Published on 17 Nov 2013 - 12:07

713

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Proof of a property of the uniformly continuous semigroups.

Published on 14 Jan 2014 - 14:03

683

Views

Is the product rule true in a Banach algebra?

Published on 15 Jan 2014 - 15:38

1.5k

Views

Linearly independent functionals

Published on 17 Feb 2014 - 3:51

154

Views

Reference/Lecture notes on operational / functional calculus

Published on 23 Feb 2026 - 7:13

60

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İf they have same tangent line ,why their slopes are different .I don't understand.

Published on 20 Apr 2017 - 10:50

82

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C*-algebras: Proving $(upu^{-1}-p)^+(uqu^{-1}-q)^-=0$, where $p\leq q$ are projections and $u$ is unitary.

Published on 28 Apr 2017 - 0:03

122

Views

Being Close to a Unitary in a C$^{}$-algebra Implies Being Close to a Unitary in a Sub-C$^{}$-Algebra

Published on 10 May 2017 - 18:49

397

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Smoothness of $O(n)$-equivariant maps of positive-definite matrices

Published on 17 May 2017 - 8:16

2.1k

Views

Is there some approach to make functional integrals rigorous?

Published on 18 May 2017 - 0:14

823

Views

Exponential of unbounded self adjoint operator

Published on 23 May 2017 - 18:41

List Question

Continuous functional calculus

The spectrum of an invertible element $x$ is $\sigma(x^{-1})=\{\lambda^{-1}: \lambda\in \sigma(x)\}$

When does a PDE solve a variational problem?

If $a$ and $b$ commute in a $C^*$-algebra and $a$ is normal, then $f(a)$ and $b$ commute for any continuous $f$

why for every $ f\in C(\sigma(x))$ we have $ \Phi (f(x))= f(\Phi(x))$?

Proof of a property of the uniformly continuous semigroups.

Is the product rule true in a Banach algebra?

Linearly independent functionals

Reference/Lecture notes on operational / functional calculus

İf they have same tangent line ,why their slopes are different .I don't understand.

C*-algebras: Proving $(upu^{-1}-p)^+(uqu^{-1}-q)^-=0$, where $p\leq q$ are projections and $u$ is unitary.

Being Close to a Unitary in a C$^{}$-algebra Implies Being Close to a Unitary in a Sub-C$^{}$-Algebra

Smoothness of $O(n)$-equivariant maps of positive-definite matrices

Is there some approach to make functional integrals rigorous?

Exponential of unbounded self adjoint operator

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