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- Hermitian_adjoint abstract "In mathematics, specifically in functional analysis, each bounded linear operator on a complex Hilbert space has a corresponding adjoint operator. Adjoints of operators generalize conjugate transposes of square matrices to (possibly) infinite-dimensional situations. If one thinks of operators on a complex Hilbert space as "generalized complex numbers", then the adjoint of an operator plays the role of the complex conjugate of a complex number.The adjoint of an operator A may also be called the Hermitian adjoint, Hermitian conjugate or Hermitian transpose (after Charles Hermite) of A and is denoted by A* or A† (the latter especially when used in conjunction with the bra–ket notation).".
- Hermitian_adjoint wikiPageID "667175".
- Hermitian_adjoint wikiPageLength "7737".
- Hermitian_adjoint wikiPageOutDegree "45".
- Hermitian_adjoint wikiPageRevisionID "663115166".
- Hermitian_adjoint wikiPageWikiLink Adjoint_functor.
- Hermitian_adjoint wikiPageWikiLink Adjoint_functors.
- Hermitian_adjoint wikiPageWikiLink Antilinear_map.
- Hermitian_adjoint wikiPageWikiLink Bounded_operator.
- Hermitian_adjoint wikiPageWikiLink Bra–ket_notation.
- Hermitian_adjoint wikiPageWikiLink C*-algebra.
- Hermitian_adjoint wikiPageWikiLink Category:Operator_theory.
- Hermitian_adjoint wikiPageWikiLink Category_theory.
- Hermitian_adjoint wikiPageWikiLink Charles_Hermite.
- Hermitian_adjoint wikiPageWikiLink Codomain.
- Hermitian_adjoint wikiPageWikiLink Complex_conjugate.
- Hermitian_adjoint wikiPageWikiLink Complex_number.
- Hermitian_adjoint wikiPageWikiLink Conjugate_transpose.
- Hermitian_adjoint wikiPageWikiLink Continuous_function.
- Hermitian_adjoint wikiPageWikiLink Continuous_function_(topology).
- Hermitian_adjoint wikiPageWikiLink Densely_defined_operator.
- Hermitian_adjoint wikiPageWikiLink Domain_of_a_function.
- Hermitian_adjoint wikiPageWikiLink Functional_analysis.
- Hermitian_adjoint wikiPageWikiLink Hermitian_operator.
- Hermitian_adjoint wikiPageWikiLink Hilbert_space.
- Hermitian_adjoint wikiPageWikiLink Inner_product.
- Hermitian_adjoint wikiPageWikiLink Inner_product_space.
- Hermitian_adjoint wikiPageWikiLink Involution_(mathematics).
- Hermitian_adjoint wikiPageWikiLink Kernel_(linear_algebra).
- Hermitian_adjoint wikiPageWikiLink Kernel_(linear_operator).
- Hermitian_adjoint wikiPageWikiLink Linear_map.
- Hermitian_adjoint wikiPageWikiLink Linear_operator.
- Hermitian_adjoint wikiPageWikiLink Linear_subspace.
- Hermitian_adjoint wikiPageWikiLink Mathematics.
- Hermitian_adjoint wikiPageWikiLink Norm_(mathematics).
- Hermitian_adjoint wikiPageWikiLink Observable.
- Hermitian_adjoint wikiPageWikiLink Operator_(physics).
- Hermitian_adjoint wikiPageWikiLink Operator_norm.
- Hermitian_adjoint wikiPageWikiLink Orthogonal_complement.
- Hermitian_adjoint wikiPageWikiLink Quantum_mechanics.
- Hermitian_adjoint wikiPageWikiLink Real_number.
- Hermitian_adjoint wikiPageWikiLink Riesz_representation_theorem.
- Hermitian_adjoint wikiPageWikiLink Self-adjoint.
- Hermitian_adjoint wikiPageWikiLink Self-adjoint_operator.
- Hermitian_adjoint wikiPageWikiLink Square_matrices.
- Hermitian_adjoint wikiPageWikiLink Square_matrix.
- Hermitian_adjoint wikiPageWikiLink Transpose.
- Hermitian_adjoint wikiPageWikiLink Vector_space.
- Hermitian_adjoint wikiPageWikiLink †-algebra.
- Hermitian_adjoint wikiPageWikiLinkText "Hermitian adjoint".
- Hermitian_adjoint wikiPageWikiLinkText "Hermitian conjugate".
- Hermitian_adjoint wikiPageWikiLinkText "Hermitian conjugates".
- Hermitian_adjoint wikiPageWikiLinkText "Hermitian conjugation".
- Hermitian_adjoint wikiPageWikiLinkText "Hermitian transpose".
- Hermitian_adjoint wikiPageWikiLinkText "Hermitian".
- Hermitian_adjoint wikiPageWikiLinkText "adjoint map".
- Hermitian_adjoint wikiPageWikiLinkText "adjoint of this operator".
- Hermitian_adjoint wikiPageWikiLinkText "adjoint operator".
- Hermitian_adjoint wikiPageWikiLinkText "adjoint".
- Hermitian_adjoint wikiPageWikiLinkText "by definition".
- Hermitian_adjoint wikiPageWikiLinkText "conjugate".
- Hermitian_adjoint wikiPageWikiLinkText "hermitian adjoint".
- Hermitian_adjoint wikiPageWikiLinkText "self-adjoint".
- Hermitian_adjoint date "May 2015".
- Hermitian_adjoint hasPhotoCollection Hermitian_adjoint.
- Hermitian_adjoint reason "These will be hard to guess.".
- Hermitian_adjoint reason "This proof is not correct because it does not check whether x is in the domain of A^*. It also needs an extra step to transition between "all y in H" and "all y in the domain of A". As it stands, it's written for bounded operators -- it's altogether orthogonal to the special issues that arise for densely defined operators!".
- Hermitian_adjoint reason "What about the kernel of a densely defined operator?".
- Hermitian_adjoint wikiPageUsesTemplate Template:Citation.
- Hermitian_adjoint wikiPageUsesTemplate Template:Functional_Analysis.
- Hermitian_adjoint wikiPageUsesTemplate Template:Math.
- Hermitian_adjoint wikiPageUsesTemplate Template:Mvar.
- Hermitian_adjoint wikiPageUsesTemplate Template:Reflist.
- Hermitian_adjoint wikiPageUsesTemplate Template:What.
- Hermitian_adjoint subject Category:Operator_theory.
- Hermitian_adjoint type Article.
- Hermitian_adjoint type Article.
- Hermitian_adjoint type Physic.
- Hermitian_adjoint type Thing.
- Hermitian_adjoint comment "In mathematics, specifically in functional analysis, each bounded linear operator on a complex Hilbert space has a corresponding adjoint operator. Adjoints of operators generalize conjugate transposes of square matrices to (possibly) infinite-dimensional situations.".
- Hermitian_adjoint label "Hermitian adjoint".
- Hermitian_adjoint sameAs Operador_adjunt.
- Hermitian_adjoint sameAs Sdružený_operátor.
- Hermitian_adjoint sameAs Adjungierter_Operator.
- Hermitian_adjoint sameAs Adjunkta_operatoro.
- Hermitian_adjoint sameAs Operador_adjunto.
- Hermitian_adjoint sameAs Opérateur_adjoint.
- Hermitian_adjoint sameAs Operatore_aggiunto.
- Hermitian_adjoint sameAs 随伴作用素.
- Hermitian_adjoint sameAs 에르미트_수반.
- Hermitian_adjoint sameAs Toegevoegde_operator.
- Hermitian_adjoint sameAs Operator_sprzężony_(przestrzenie_Hilberta).
- Hermitian_adjoint sameAs Operador_adjunto.
- Hermitian_adjoint sameAs m.0316dj.
- Hermitian_adjoint sameAs Q1509647.
- Hermitian_adjoint sameAs Q1509647.
- Hermitian_adjoint sameAs 埃尔米特伴随.
- Hermitian_adjoint wasDerivedFrom Hermitian_adjoint?oldid=663115166.
- Hermitian_adjoint isPrimaryTopicOf Hermitian_adjoint.