List questions from dual-spaces

Published on 05 Feb 2019 - 21:52

37

Views

How can the adjoint be defined if $f$ is not one to one

Published on 06 Feb 2019 - 9:07

1.2k

Views

If $Y\subset X$ are Banach spaces such that $Y$ is dense in $X$, is it true that $X'$ is dense in $Y'$?

Published on 25 Mar 2026 - 11:16

447

Views

$C(X)$ not reflexive if $X$ has infinitely many points.

Published on 23 Feb 2026 - 1:03

76

Views

Hahn-Banach needed to show equality?

Published on 25 Mar 2026 - 6:24

102

Views

Riesz representation theorem: Does the order matter?

Published on 25 Mar 2026 - 8:12

410

Views

Is the identity functor naturally isomorphic to a covariant dual functor?

Published on 25 Mar 2026 - 4:41

770

Views

Examples reflexive spaces

Published on 23 Feb 2026 - 0:59

181

Views

Coordinates of the linear function in dual space.

Published on 25 Feb 2019 - 8:22

387

Views

If $T\in B(X,Y)$ and $T$ is bijective is $T^*$ also bijective?

Published on 25 Mar 2026 - 5:03

234

Views

Construct a natural map $l_1 → l_{\infty}^∗$

Published on 25 Mar 2026 - 12:52

532

Views

Bra’s, Ket’s, a Hilbert Space and its Dual.

Published on 04 Mar 2019 - 20:41

265

Views

Commutative diagrams for vector spaces, dual spaces, and adjoint of linear maps

Published on 09 Mar 2019 - 1:40

50

Views

Why are $T^k(V)$ and $V^* \otimes... \otimes V^*$ just isomorphic?

Published on 25 Mar 2026 - 6:28

1.9k

Views

Finding a basis of the annihilator of a subspace

Published on 18 Mar 2019 - 23:29

List Question

Why the transpose of $A$ is not looking at the transformation $A$ in the dual space

How can the adjoint be defined if $f$ is not one to one

If $Y\subset X$ are Banach spaces such that $Y$ is dense in $X$, is it true that $X'$ is dense in $Y'$?

$C(X)$ not reflexive if $X$ has infinitely many points.

Hahn-Banach needed to show equality?

Riesz representation theorem: Does the order matter?

Is the identity functor naturally isomorphic to a covariant dual functor?

Examples reflexive spaces

Coordinates of the linear function in dual space.

If $T\in B(X,Y)$ and $T$ is bijective is $T^*$ also bijective?

Construct a natural map $l_1 → l_{\infty}^∗$

Bra’s, Ket’s, a Hilbert Space and its Dual.

Commutative diagrams for vector spaces, dual spaces, and adjoint of linear maps

Why are $T^k(V)$ and $V^* \otimes... \otimes V^*$ just isomorphic?

Finding a basis of the annihilator of a subspace

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