{ "items" : [
    { "id" : "http://dbpedia.org/resource/Category:Operator_theory"
      "properties" : {
        "http://www.w3.org/1999/02/22-rdf-syntax-ns#type" : [ "http://www.w3.org/2004/02/skos/core#Concept" ] ,
        "http://www.w3.org/2000/01/rdf-schema#label" : [ "Operator theory" ] ,
        "http://www.w3.org/2002/07/owl#sameAs" : [ "http://dbpedia.org/resource/Category:Operator_theory" ] ,
        "http://www.w3.org/2004/02/skos/core#broader" : [ "http://dbpedia.org/resource/Category:Functional_analysis",
          "http://dbpedia.org/resource/Category:Mathematical_physics" ] ,
        "http://www.w3.org/2004/02/skos/core#prefLabel" : [ "Operator theory" ] ,
        "http://xmlns.com/foaf/0.1/topic" : [ "http://dbpedia.org/resource/Composition_operator",
          "http://dbpedia.org/resource/Convexoid_operator",
          "http://dbpedia.org/resource/Harmonic_tensors",
          "http://dbpedia.org/resource/Nuclear_C*-algebra",
          "http://dbpedia.org/resource/Schatten_norm",
          "http://dbpedia.org/resource/Wold's_decomposition",
          "http://dbpedia.org/resource/Schatten_class_operator",
          "http://dbpedia.org/resource/Limiting_absorption_principle",
          "http://dbpedia.org/resource/Naimark's_dilation_theorem",
          "http://dbpedia.org/resource/Von_Neumann's_inequality",
          "http://dbpedia.org/resource/Self-adjoint_operator",
          "http://dbpedia.org/resource/Spectral_theory_of_ordinary_differential_equations",
          "http://dbpedia.org/resource/Limiting_amplitude_principle",
          "http://dbpedia.org/resource/Hilbert–Schmidt_theorem",
          "http://dbpedia.org/resource/Invariant_subspace",
          "http://dbpedia.org/resource/Subfactor",
          "http://dbpedia.org/resource/Hilbert–Schmidt_operator",
          "http://dbpedia.org/resource/Hilbert–Schmidt_integral_operator",
          "http://dbpedia.org/resource/Approximation_property",
          "http://dbpedia.org/resource/Category:Differential_operators",
          "http://dbpedia.org/resource/Liouville_space",
          "http://dbpedia.org/resource/Riesz–Thorin_theorem",
          "http://dbpedia.org/resource/Multipliers_and_centralizers_(Banach_spaces)",
          "http://dbpedia.org/resource/Controlled_invariant_subspace",
          "http://dbpedia.org/resource/Hilbert_C*-module",
          "http://dbpedia.org/resource/Densely_defined_operator",
          "http://dbpedia.org/resource/Cotlar–Stein_lemma",
          "http://dbpedia.org/resource/Category:Operator_theory#this",
          "http://dbpedia.org/resource/Jacobi_operator",
          "http://dbpedia.org/resource/Operator_theory",
          "http://dbpedia.org/resource/Real_rank_(C*-algebras)",
          "http://dbpedia.org/resource/Min-max_theorem",
          "http://dbpedia.org/resource/Positive_operator_(Hilbert_space)",
          "http://dbpedia.org/resource/Cauchy–Schwarz_inequality",
          "http://dbpedia.org/resource/Cyclic_and_separating_vector",
          "http://dbpedia.org/resource/Symmetric_operator",
          "http://dbpedia.org/resource/Grunsky_matrix",
          "http://dbpedia.org/resource/Weyl–von_Neumann_theorem",
          "http://dbpedia.org/resource/Category:Operator_theorists",
          "http://dbpedia.org/resource/Category:Invariant_subspaces",
          "http://dbpedia.org/resource/Positive-definite_function_on_a_group",
          "http://dbpedia.org/resource/Sherman–Takeda_theorem",
          "http://dbpedia.org/resource/Extensions_of_symmetric_operators",
          "http://dbpedia.org/resource/Gelfand–Naimark_theorem",
          "http://dbpedia.org/resource/Stein–Strömberg_theorem",
          "http://dbpedia.org/resource/Positive-definite_kernel",
          "http://dbpedia.org/resource/Unbounded_operator",
          "http://dbpedia.org/resource/Nemytskii_operator",
          "http://dbpedia.org/resource/Strictly_singular_operator",
          "http://dbpedia.org/resource/Compact_operator_on_Hilbert_space",
          "http://dbpedia.org/resource/Douglas'_lemma",
          "http://dbpedia.org/resource/Krylov_subspace",
          "http://dbpedia.org/resource/Product_numerical_range",
          "http://dbpedia.org/resource/Compact_operator",
          "http://dbpedia.org/resource/Tensor_product_of_Hilbert_spaces",
          "http://dbpedia.org/resource/Calkin_algebra",
          "http://dbpedia.org/resource/Friedrichs_extension",
          "http://dbpedia.org/resource/Paranormal_operator",
          "http://dbpedia.org/resource/Category:Functional_calculus",
          "http://dbpedia.org/resource/Discrete_Laplace_operator",
          "http://dbpedia.org/resource/Bergman_space",
          "http://dbpedia.org/resource/Farrell–Markushevich_theorem",
          "http://dbpedia.org/resource/Hypercyclic_operator",
          "http://dbpedia.org/resource/Beltrami_equation",
          "http://dbpedia.org/resource/Fuglede's_theorem",
          "http://dbpedia.org/resource/Sobolev_spaces_for_planar_domains",
          "http://dbpedia.org/resource/AW*-algebra",
          "http://dbpedia.org/resource/Linear_subspace",
          "http://dbpedia.org/resource/Differential_operator",
          "http://dbpedia.org/resource/Uniformly_bounded_representation",
          "http://dbpedia.org/resource/Hyponormal_operator",
          "http://dbpedia.org/resource/Kato's_conjecture",
          "http://dbpedia.org/resource/Finite-rank_operator",
          "http://dbpedia.org/resource/+_h.c.",
          "http://dbpedia.org/resource/Bounded_inverse_theorem",
          "http://dbpedia.org/resource/Subnormal_operator",
          "http://dbpedia.org/resource/Singular_value",
          "http://dbpedia.org/resource/Indefinite_inner_product_space",
          "http://dbpedia.org/resource/Nilpotent_operator",
          "http://dbpedia.org/resource/Choi's_theorem_on_completely_positive_maps",
          "http://dbpedia.org/resource/Hermitian_adjoint",
          "http://dbpedia.org/resource/Ornstein–Uhlenbeck_operator",
          "http://dbpedia.org/resource/Transfer_operator",
          "http://dbpedia.org/resource/Category:Linear_operators",
          "http://dbpedia.org/resource/Eigenvalues_and_eigenvectors_of_the_second_derivative",
          "http://dbpedia.org/resource/Numerical_range",
          "http://dbpedia.org/resource/Dixmier_trace",
          "http://dbpedia.org/resource/Trace_operator",
          "http://dbpedia.org/resource/Schröder–Bernstein_theorems_for_operator_algebras",
          "http://dbpedia.org/resource/Sturm–Liouville_theory",
          "http://dbpedia.org/resource/Invariant_subspace_problem",
          "http://dbpedia.org/resource/Resolvent_set",
          "http://dbpedia.org/resource/Trace_class",
          "http://dbpedia.org/resource/Normal_operator",
          "http://dbpedia.org/resource/Operator_norm",
          "http://dbpedia.org/resource/Hamiltonian_(quantum_mechanics)",
          "http://dbpedia.org/resource/Tomita–Takesaki_theory",
          "http://dbpedia.org/resource/Operator_monotone_function",
          "http://dbpedia.org/resource/Singular_integral_operators_of_convolution_type",
          "http://dbpedia.org/resource/Von_Neumann_algebra",
          "http://dbpedia.org/resource/Singular_integral_operators_on_closed_curves",
          "http://dbpedia.org/resource/Contraction_(operator_theory)",
          "http://dbpedia.org/resource/Operator_system",
          "http://dbpedia.org/resource/Operator_space",
          "http://dbpedia.org/resource/Unitary_operator",
          "http://dbpedia.org/resource/Operator_algebra",
          "http://dbpedia.org/resource/Dilation_(operator_theory)",
          "http://dbpedia.org/resource/Polar_decomposition",
          "http://dbpedia.org/resource/Volterra_operator",
          "http://dbpedia.org/resource/Crossed_product",
          "http://dbpedia.org/resource/Neumann–Poincaré_operator",
          "http://dbpedia.org/resource/Stinespring_dilation_theorem",
          "http://dbpedia.org/resource/Browder–Minty_theorem",
          "http://dbpedia.org/resource/Category:Fredholm_theory",
          "http://dbpedia.org/resource/International_Workshop_on_Operator_Theory_and_its_Applications",
          "http://dbpedia.org/resource/Affiliated_operator",
          "http://dbpedia.org/resource/Littlewood_subordination_theorem",
          "http://dbpedia.org/resource/Hilbert_space",
          "http://dbpedia.org/resource/Reflexive_operator_algebra",
          "http://dbpedia.org/resource/Pseudo-monotone_operator",
          "http://dbpedia.org/resource/Sz.-Nagy's_dilation_theorem",
          "http://dbpedia.org/resource/Cholesky_decomposition",
          "http://dbpedia.org/resource/Topological_tensor_product",
          "http://dbpedia.org/resource/Berezin_transform",
          "http://dbpedia.org/resource/Quasinormal_operator",
          "http://dbpedia.org/resource/Nuclear_space",
          "http://dbpedia.org/resource/Gelfand_representation",
          "http://dbpedia.org/resource/Category:Spectral_theory",
          "http://dbpedia.org/resource/Dissipative_operator",
          "http://dbpedia.org/resource/Operator_(physics)",
          "http://dbpedia.org/resource/Toeplitz_operator",
          "http://dbpedia.org/resource/Integration_by_parts_operator",
          "http://dbpedia.org/resource/Calderón_projector",
          "http://dbpedia.org/resource/Commutant_lifting_theorem",
          "http://dbpedia.org/resource/Category:Singular_value_decomposition",
          "http://dbpedia.org/resource/Workshop_on_Numerical_Ranges_and_Numerical_Radii",
          "http://dbpedia.org/resource/Von_Neumann's_theorem",
          "http://dbpedia.org/resource/Oscillator_representation",
          "http://dbpedia.org/resource/Partial_isometry",
          "http://dbpedia.org/resource/Jordan_operator_algebra",
          "http://dbpedia.org/resource/Kronecker_sum_of_discrete_Laplacians",
          "http://dbpedia.org/resource/Tree_kernel",
          "http://dbpedia.org/resource/Index_group",
          "http://dbpedia.org/resource/Banach–Stone_theorem",
          "http://dbpedia.org/resource/Sedrakyan's_inequality",
          "http://dbpedia.org/resource/SIC-POVM",
          "http://dbpedia.org/resource/Kuiper's_theorem",
          "http://dbpedia.org/resource/Continuous_linear_operator",
          "http://dbpedia.org/resource/Nuclear_operators_between_Banach_spaces",
          "http://dbpedia.org/resource/De_Branges_space",
          "http://dbpedia.org/resource/Hardy_space",
          "http://dbpedia.org/resource/Symmetrizable_compact_operator",
          "http://dbpedia.org/resource/Bounded_operator",
          "http://dbpedia.org/resource/Von_Neumann_bicommutant_theorem",
          "http://dbpedia.org/resource/Category:Unitary_operators",
          "http://dbpedia.org/resource/Trace_inequality",
          "http://dbpedia.org/resource/Nest_algebra",
          "http://dbpedia.org/resource/Antieigenvalue_theory" ] ,
        "http://www.w3.org/2007/05/powder-s#describedby" : [ "https://covidontheweb.inria.fr:4443/about/id/entity/http/dbpedia.org/resource/Category:Functional_analysis" ] ,
        "http://dbpedia.org/ontology/wikiPageID" : [ 691908 ] ,
        "http://dbpedia.org/ontology/wikiPageRevisionID" : [ 1101937329 ] ,
        "http://www.w3.org/ns/prov#wasDerivedFrom" : [ "http://en.wikipedia.org/wiki/Category:Operator_theory?oldid=1101937329&ns=14" ] ,
        "http://dbpedia.org/property/wikiPageUsesTemplate" : [ "http://dbpedia.org/resource/Template:CatAutoTOC",
          "http://dbpedia.org/resource/Template:Commons_category",
          "http://dbpedia.org/resource/Template:Cat_main"] } } }
