Question

Show that subspace is maximal ideal in commutative Banach algebra

score 36 · Answer 1 · 2021-02-03 18:36:11

36

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Show that subspace is maximal ideal in commutative Banach algebra

Published on 03 Feb 2021 - 18:36

score 158 · Answer 2 · 2021-02-04 04:48:38

158

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Spectral Mapping Theorem in Continuous Functional Calculus

Published on 04 Feb 2021 - 4:48

score 62 · Answer 3 · 2021-02-06 15:47:51

62

Views

Can we choose the kernel of a Hilbert-Schmidt integral operator $T$ s.t. $0\in\sigma_p(T)$, $0\in\sigma_c(T)$ or $0\in\sigma_c(T)$?

Published on 06 Feb 2021 - 15:47

score 402 · Answer 4 · 2021-02-06 15:53:46

402

Views

Continuous and residual spectrum of a multiplication operator on $\ell^p$ in the non-Hilbert case $p\ne2$

Published on 06 Feb 2021 - 15:53

score 122 · Answer 5 · 2021-02-08 23:42:22

122

Views

Quadratic form of Hilbert space operator is equal when operators are equal

Published on 08 Feb 2021 - 23:42

score 61 · Answer 6 · 2021-02-10 21:00:22

61

Views

Inequalities for numerical radius of complex Hilbert space operator

Published on 10 Feb 2021 - 21:00

score 85 · Answer 7 · 2026-04-03 19:44:00

85

Views

Understanding the spectral measure of unbounded self-adjoint operator

Published on 03 Apr 2026 - 19:44

score 26 · Answer 8 · 2021-02-11 15:58:24

26

Views

Spectral theorem - Why is $\mathbb{A}(v)=k^TA^Tc$?

Published on 11 Feb 2021 - 15:58

score 79 · Answer 9 · 2021-02-11 23:27:37

79

Views

showing that $\sigma(\mathbf{XYX}^{−1}) = \sigma(\mathbf{Y})$

Published on 11 Feb 2021 - 23:27

score 80 · Answer 10 · 2026-03-28 00:28:55

80

Views

Under which domain transformations are the eigenvalues of $-\Delta$ invariant?

Published on 28 Mar 2026 - 0:28

score 604 · Answer 11 · 2026-03-27 22:52:37

604

Views

Eigenvalues and semigroup generated by the Laplacian

Published on 27 Mar 2026 - 22:52

score 85 · Answer 12 · 2026-03-31 23:12:05

85

Views

If $U$ is dense in $H$, $(e_i)$ is an orthonormal basis of $U$ and $⟨u,e_i⟩_U=λ_i⟨u,e_i⟩_H$, is $(\sqrt λ_ie_i)$ an orthonormal basis of $H$?

Published on 31 Mar 2026 - 23:12

score 68 · Answer 13 · 2021-02-15 11:00:14

68

Views

Show that the essential spectrum is trivial in this case

Published on 15 Feb 2021 - 11:00

score 128 · Answer 14 · 2026-03-28 00:30:26

128

Views

Fractional powers of an operator associated to a sesquilinear form

Published on 28 Mar 2026 - 0:30

score 118 · Answer 15 · 2026-04-08 12:17:31

118

Views

Show that operator is diagonalizable

Published on 08 Apr 2026 - 12:17

List Question

Show that subspace is maximal ideal in commutative Banach algebra

Spectral Mapping Theorem in Continuous Functional Calculus

Can we choose the kernel of a Hilbert-Schmidt integral operator $T$ s.t. $0\in\sigma_p(T)$, $0\in\sigma_c(T)$ or $0\in\sigma_c(T)$?

Continuous and residual spectrum of a multiplication operator on $\ell^p$ in the non-Hilbert case $p\ne2$

Quadratic form of Hilbert space operator is equal when operators are equal

Inequalities for numerical radius of complex Hilbert space operator

Understanding the spectral measure of unbounded self-adjoint operator

Spectral theorem - Why is $\mathbb{A}(v)=k^TA^Tc$?

showing that $\sigma(\mathbf{XYX}^{−1}) = \sigma(\mathbf{Y})$

Under which domain transformations are the eigenvalues of $-\Delta$ invariant?

Eigenvalues and semigroup generated by the Laplacian

If $U$ is dense in $H$, $(e_i)$ is an orthonormal basis of $U$ and $⟨u,e_i⟩_U=λ_i⟨u,e_i⟩_H$, is $(\sqrt λ_ie_i)$ an orthonormal basis of $H$?

Show that the essential spectrum is trivial in this case

Fractional powers of an operator associated to a sesquilinear form

Show that operator is diagonalizable

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