List questions from dual-spaces

Published on 27 Jun 2022 - 19:52

56

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Reference for $X' = \{ \lambda ||\cdot||'(x) : \lambda \in \mathbb R,\quad x \in X \setminus \{ 0 \} \}$

Published on 28 Jun 2022 - 21:37

179

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What's the limit of the canonical basis $e_i\in\ell^1$ when considered in the space $(\ell^\infty)^*$

Published on 26 Mar 2026 - 17:53

97

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What can we say about eigen values of adjoint of a linear operator

Published on 06 Jul 2022 - 19:17

37

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Banach spaces isomorphic to their dual

Published on 07 Jul 2022 - 17:33

89

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The relation between linear functionals in the dual space and codimension of a subspace

Published on 26 Mar 2026 - 4:16

76

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On what condition will make "$S^{\perp} \subseteq T^{\perp} \Longrightarrow T \subseteq S$" true?

Published on 09 Jul 2022 - 21:14

135

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Show Isomorphism Involving Dual Spaces

Published on 10 Jul 2022 - 22:49

308

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For Riemannian manifolds, what does it mean to express a vector using the dual basis?

Published on 12 Jul 2022 - 3:24

47

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Specific function in $C(\mathbb{R})^*$

Published on 13 Jul 2022 - 19:01

113

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If $I$ is a positive linear functional on $C_C(X)$, then $I(f) \leq C_K \|f\|_u$ for all $f \in C_C(X)$.

Published on 18 Jul 2022 - 3:16

225

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Theorem 15, Section 3.5 of Hoffman’s Linear Algebra

Published on 24 Jul 2022 - 7:07

189

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Isomorphism between two vector spaces.

Published on 27 Mar 2026 - 21:23

89

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Dual of short exact sequence of Lie algebras exact?

Published on 01 Aug 2022 - 16:35

32

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The Dual of Space of normally convergent power series.

Published on 01 Aug 2022 - 17:43

List Question

The map $g \mapsto \phi_g$ forms an isometry from $L^q$ to $(L^p)^*$

Reference for $X' = \{ \lambda ||\cdot||'(x) : \lambda \in \mathbb R,\quad x \in X \setminus \{ 0 \} \}$

What's the limit of the canonical basis $e_i\in\ell^1$ when considered in the space $(\ell^\infty)^*$

What can we say about eigen values of adjoint of a linear operator

Banach spaces isomorphic to their dual

The relation between linear functionals in the dual space and codimension of a subspace

On what condition will make "$S^{\perp} \subseteq T^{\perp} \Longrightarrow T \subseteq S$" true?

Show Isomorphism Involving Dual Spaces

For Riemannian manifolds, what does it mean to express a vector using the dual basis?

Specific function in $C(\mathbb{R})^*$

If $I$ is a positive linear functional on $C_C(X)$, then $I(f) \leq C_K \|f\|_u$ for all $f \in C_C(X)$.

Theorem 15, Section 3.5 of Hoffman’s Linear Algebra

Isomorphism between two vector spaces.

Dual of short exact sequence of Lie algebras exact?

The Dual of Space of normally convergent power series.

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