List questions from inverse

Published on 24 Jul 2015 - 16:38

37

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Does for $T \in B(X)$ with $\|T\|>1$ exist $T^{-1}$?

Published on 25 Jul 2015 - 17:47

20k

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Clarification of definition of "inverse" with quaternions

Published on 01 Apr 2026 - 23:53

1.2k

Views

Must all Lebesgue integrable functions really be invertible?

Published on 28 Jul 2015 - 5:29

233

Views

Harder-Than-It-Seems: Finding inverse of $f(x)=x^3-x-12$?

Published on 28 Mar 2026 - 20:09

5.7k

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Inverse of partitioned matrices

Published on 29 Jul 2015 - 5:41

70

Views

How to prove that $f(x)x - \int_{0}^{x}{f(t) \,dt} = \int_{f(0)}^{f(x)}{f^{-1}(t) \,dt},$ for all invertible functions.

Published on 29 Jul 2015 - 17:09

190

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Is this matrix invertible?

Published on 29 Mar 2026 - 5:34

38

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In what condition we have $(K^{-1})^\ast = (K^\ast)^{-1}$?

Published on 28 Mar 2026 - 21:26

121

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Inverse Laplace

Published on 01 Apr 2026 - 21:37

138

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Does injective imply each $x$ matches to a unique $y$?

Published on 31 Jul 2015 - 22:37

1k

Views

Inverse of the sum of the inverse of 2 non-invertible matrices

Published on 02 Aug 2015 - 18:16

133

Views

Is there a polynomial $p$ such that it is bijective and $ p: \mathbb{Q}^n \rightarrow \mathbb{Q}$ for $ n>1$ ??

Published on 29 Mar 2026 - 8:35

6.8k

Views

If a function has an inverse then it is bijective?

Published on 04 Aug 2015 - 15:32

1.3k

Views

L2 norm of an inverse of a sum of matrices

Published on 05 Aug 2015 - 5:10

List Question

inverse a function with exponential and first degree polynom

Does for $T \in B(X)$ with $\|T\|>1$ exist $T^{-1}$?

Clarification of definition of "inverse" with quaternions

Must all Lebesgue integrable functions really be invertible?

Harder-Than-It-Seems: Finding inverse of $f(x)=x^3-x-12$?

Inverse of partitioned matrices

How to prove that $f(x)x - \int_{0}^{x}{f(t) \,dt} = \int_{f(0)}^{f(x)}{f^{-1}(t) \,dt},$ for all invertible functions.

Is this matrix invertible?

In what condition we have $(K^{-1})^\ast = (K^\ast)^{-1}$?

Inverse Laplace

Does injective imply each $x$ matches to a unique $y$?

Inverse of the sum of the inverse of 2 non-invertible matrices

Is there a polynomial $p$ such that it is bijective and $ p: \mathbb{Q}^n \rightarrow \mathbb{Q}$ for $ n>1$ ??

If a function has an inverse then it is bijective?

L2 norm of an inverse of a sum of matrices

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