List questions from sesquilinear-forms

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How does the hermitian sesquilinear form look like?

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Proving existence of basis such that the matrix of $f$ is given by $\begin{pmatrix} A&0\\0&0 \end{pmatrix}$

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Showing $x \mapsto B(x,y), y\mapsto B(x,y)$ continuous $\implies B(x,y)\le c\|x\|\|y\|$ for all $x,y\in H$, where $B:H\to H$ sesquilinear, $H$ Hilbert

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How do I know if a matrix is diagonalizable by congruence?

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Sesquilinear form with an operator

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Confusion with inner product linearity in complex

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Generalization of sesquilinear form?

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An example of a not positive definite sesquilinear form

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Optimize sum of the square of hermitian forms

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Hoffman Kunze 9.2 Exercise 6

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Norm of sesquilinear form bounded by norm of associated quadratic form

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Sesqulinear forms and weak convergence

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Show that the sesquilinear form is bounded

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$H_1$ and $H_2$ are pre-Hilbert Hausdorff space if and only if $H_1 \times H_2$ is pre-Hilbert Hausdorff space

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List Question

What is a sesquilinear form?

How does the hermitian sesquilinear form look like?

Proving existence of basis such that the matrix of $f$ is given by $\begin{pmatrix} A&0\\0&0 \end{pmatrix}$

Showing $x \mapsto B(x,y), y\mapsto B(x,y)$ continuous $\implies B(x,y)\le c\|x\|\|y\|$ for all $x,y\in H$, where $B:H\to H$ sesquilinear, $H$ Hilbert

How do I know if a matrix is diagonalizable by congruence?

Sesquilinear form with an operator

Confusion with inner product linearity in complex

Generalization of sesquilinear form?

An example of a not positive definite sesquilinear form

Optimize sum of the square of hermitian forms

Hoffman Kunze 9.2 Exercise 6

Norm of sesquilinear form bounded by norm of associated quadratic form

Sesqulinear forms and weak convergence

Show that the sesquilinear form is bounded

$H_1$ and $H_2$ are pre-Hilbert Hausdorff space if and only if $H_1 \times H_2$ is pre-Hilbert Hausdorff space

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