List questions from operator-theory

Published on 25 Mar 2026 - 12:08

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Find the norm of the operator $T:\ell^2 \to \ell^2$ defined by $Tx := (x_1, x_1+x_2, x_3, x_3+x_4, x_5, x_5+x_6, \ldots)$

Published on 06 Apr 2026 - 13:12

109

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Does $\|f(T^T)T^\|_\infty = \|f(T^T)(T^T)^{\frac{1}{2}}\|_\infty$?

Published on 26 Mar 2026 - 14:22

275

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Commutant of a C*-subalgebra of B(H)

Published on 29 Mar 2026 - 17:25

239

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Calculating the form domain of an operator

Published on 03 Apr 2026 - 12:11

96

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polar decomposition of multiplicative operator on L^2 induced by identity function.

Published on 27 Mar 2026 - 9:58

131

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functional calculus on a set of normal elements is continuous

Published on 27 Mar 2026 - 1:13

216

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Adjoint of differential operator in two variables

Published on 03 Apr 2026 - 12:19

28

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Limit of an element in a unital C*-algebra

Published on 26 Mar 2026 - 23:11

51

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Compact Operator Inversion

Published on 08 Oct 2014 - 16:29

29

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Monotone operator without symmetry?

Published on 08 Oct 2014 - 20:05

3.5k

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Show that a unitary operator is of the form exp(iA)

Published on 08 Oct 2014 - 22:28

191

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-isomorphism of a C-algebra into an involutive Banach algebra is norm increasing

Published on 27 Mar 2026 - 4:38

665

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Self-adjoint elements in a C*-algebra

Published on 27 Mar 2026 - 1:13

922

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Norm of Hardy-Littlewood maximal operator

Published on 01 Apr 2026 - 5:05

List Question

Derivative of a function which is treated as a variable

Find the norm of the operator $T:\ell^2 \to \ell^2$ defined by $Tx := (x_1, x_1+x_2, x_3, x_3+x_4, x_5, x_5+x_6, \ldots)$

Does $\|f(T^T)T^\|_\infty = \|f(T^T)(T^T)^{\frac{1}{2}}\|_\infty$?

Commutant of a C*-subalgebra of B(H)

Calculating the form domain of an operator

polar decomposition of multiplicative operator on L^2 induced by identity function.

functional calculus on a set of normal elements is continuous

Adjoint of differential operator in two variables

Limit of an element in a unital C*-algebra

Compact Operator Inversion

Monotone operator without symmetry?

Show that a unitary operator is of the form exp(iA)

-isomorphism of a C-algebra into an involutive Banach algebra is norm increasing

Self-adjoint elements in a C*-algebra

Norm of Hardy-Littlewood maximal operator

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