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Norm Operator norm of creation and annihilation operators

Are the creation and the annihilation operators $a(f)$ and $a^\star(f)$$a^{\dagger}(f)$ for the bosonic Fock space bounded? What is their norm? So far I did not have found any note about this in the linked Wikipedia article.

Norm of creation and annihilation operators

Are the creation and the annihilation operators $a(f)$ and $a^\star(f)$ for the bosonic Fock space bounded? What is their norm? So far I did not have found any note about this in the linked Wikipedia article.

Operator norm of creation and annihilation operators

Are the creation and the annihilation operators $a(f)$ and $a^{\dagger}(f)$ for the bosonic Fock space bounded? What is their norm? So far I did not have found any note about this in the linked Wikipedia article.

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Are the creation and the annihilation operators $a(f)$ and $a*(f)$$a^\star(f)$ for the bosonic Fock space bounded? What is their norm? So far I did not have found any note about this in the linked Wikipedia article.

Are the creation and the annihilation operators $a(f)$ and $a*(f)$ for the bosonic Fock space bounded? What is their norm? So far I did not have found any note about this in the linked Wikipedia article.

Are the creation and the annihilation operators $a(f)$ and $a^\star(f)$ for the bosonic Fock space bounded? What is their norm? So far I did not have found any note about this in the linked Wikipedia article.

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Norm of creation and annihilation operators

Are the creation and the annihilation operators $a(f)$ and $a*(f)$ for the bosonic Fock space bounded? What is their norm? So far I did not have found any note about this in the linked Wikipedia article.