List questions from dual-spaces

Published on 14 Nov 2022 - 23:52

77

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Isomorphism under restriction

Published on 26 Mar 2026 - 2:52

42

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When does a Matrix can be considered an element of the dual space?

Published on 31 Mar 2026 - 8:10

136

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Change of basis for dual bases

Published on 18 Nov 2022 - 12:01

88

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How does one show that coev is independent of the choice of basis?

Published on 20 Nov 2022 - 10:39

48

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Is the set of positive function set in $H^{-1}(\Omega)$ closed?

Published on 22 Nov 2022 - 8:24

46

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Can a Banach space and its dual both contain copies of $\ell_1$?

Published on 25 Mar 2026 - 9:28

45

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closure of polynomials in weak topoloy and weak* topology of $L^\infty(0,1)$.

Published on 25 Nov 2022 - 9:10

35

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Every element of $J(X) \subset X^{**}$ attains their norm

Published on 02 Dec 2022 - 22:39

52

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If $T(x_n)\to T(x) \ \forall \ T \in X^\ast$, then $x_n \to x$.

Published on 03 Dec 2022 - 17:41

209

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Unsure how $(\ell^1)^*\cong\ell^\infty$

Published on 04 Dec 2022 - 23:35

59

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Proof that $l^1(X)^*$ is indeed $l^\infty (X)$

Published on 18 Dec 2022 - 17:04

867

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Reciprocal basis in same vector space vs dual basis in its dual space

Published on 29 Dec 2022 - 23:45

51

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Isometric isomorphism between $(X\oplus Y)'$ and $X' \oplus Y'$

Published on 01 Jan 2023 - 14:15

78

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Confusion about basis of Endomorphism bundle

Published on 02 Jan 2023 - 19:45

List Question

Natural identification between T double dual and T

Isomorphism under restriction

When does a Matrix can be considered an element of the dual space?

Change of basis for dual bases

How does one show that coev is independent of the choice of basis?

Is the set of positive function set in $H^{-1}(\Omega)$ closed?

Can a Banach space and its dual both contain copies of $\ell_1$?

closure of polynomials in weak topoloy and weak* topology of $L^\infty(0,1)$.

Every element of $J(X) \subset X^{**}$ attains their norm

If $T(x_n)\to T(x) \ \forall \ T \in X^\ast$, then $x_n \to x$.

Unsure how $(\ell^1)^*\cong\ell^\infty$

Proof that $l^1(X)^*$ is indeed $l^\infty (X)$

Reciprocal basis in same vector space vs dual basis in its dual space

Isometric isomorphism between $(X\oplus Y)'$ and $X' \oplus Y'$

Confusion about basis of Endomorphism bundle

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