{"doi":"10.1002/3527600434.eap732","title":"Functional Analysis","abstract":"<jats:title>Abstract</jats:title>\n          <jats:p>The article contains sections titled:</jats:p>\n          <jats:sec>\n            <jats:title>Banach Space and Operators on Them</jats:title>\n            <jats:sec>\n              <jats:title>Vector and Normed Spaces</jats:title>\n            </jats:sec>\n            <jats:sec>\n              <jats:title>Operators on Banach Spaces</jats:title>\n            </jats:sec>\n            <jats:sec>\n              <jats:title>Spectra of Closed Operators</jats:title>\n            </jats:sec>\n          </jats:sec>\n          <jats:sec>\n            <jats:title>Hilbert Spaces</jats:title>\n            <jats:sec>\n              <jats:title>Hilbert‐Space Geometry</jats:title>\n            </jats:sec>\n            <jats:sec>\n              <jats:title>Direct Sums and Tensor Products</jats:title>\n            </jats:sec>\n          </jats:sec>\n          <jats:sec>\n            <jats:title>Bounded Operators on Hilbert Spaces</jats:title>\n            <jats:sec>\n              <jats:title>Hermitean Operators</jats:title>\n            </jats:sec>\n            <jats:sec>\n              <jats:title>Unitary Operators</jats:title>\n            </jats:sec>\n            <jats:sec>\n              <jats:title>Compact Operators</jats:title>\n            </jats:sec>\n            <jats:sec>\n              <jats:title>Schatten Classes</jats:title>\n            </jats:sec>\n          </jats:sec>\n          <jats:sec>\n            <jats:title>Unbounded Operators</jats:title>\n            <jats:sec>\n              <jats:title>Operator Adjoint and Closure</jats:title>\n            </jats:sec>\n            <jats:sec>\n              <jats:title>Normal and Self‐Adjoint Operators</jats:title>\n            </jats:sec>\n            <jats:sec>\n              <jats:title>Tensor Products of Operators</jats:title>\n            </jats:sec>\n            <jats:sec>\n              <jats:title>Self‐Adjoint Extensions</jats:title>\n            </jats:sec>\n          </jats:sec>\n          <jats:sec>\n            <jats:title>Spectral Theory of Self‐Adjoint Operators</jats:title>\n            <jats:sec>\n              <jats:title>Functional Calculus</jats:title>\n            </jats:sec>\n            <jats:sec>\n              <jats:title>Spectral Theorem</jats:title>\n            </jats:sec>\n            <jats:sec>\n              <jats:title>More about Spectral Properties</jats:title>\n            </jats:sec>\n            <jats:sec>\n              <jats:title>Groups of Unitary Operators</jats:title>\n            </jats:sec>\n          </jats:sec>\n          <jats:sec>\n            <jats:title>Some Applications in Quantum Mechanics</jats:title>\n            <jats:sec>\n              <jats:title>Schrödinger Operators</jats:title>\n            </jats:sec>\n            <jats:sec>\n              <jats:title>Scattering Theory</jats:title>\n            </jats:sec>\n          </jats:sec>\n          <jats:sec>\n            <jats:title>Glossary</jats:title>\n          </jats:sec>","journal":"digital Encyclopedia of Applied Physics","year":2015,"id":44171,"datarank":0.0,"base_score":0.0,"endowment":0.0,"self_citation_contribution":0.0,"citation_network_contribution":0.0,"self_endowment_contribution":0.0,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":0,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":208422,"name":"Pavel Exner","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"base_score":0.0,"endowment":0.0,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"21464855","pmcid":null,"openalex_id":"https://openalex.org/W4252368726","authors":[],"funders":[],"total_grants":0,"fwci":null,"citation_percentile":null,"influential_citations":0,"citation_trend":[],"oa_status":"closed","license":"http://doi.wiley.com/10.1002/tdm_license_1.1","oa_locations":[{"url":"https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2F3527600434.eap732","host_type":"publisher"},{"url":"https://onlinelibrary.wiley.com/doi/pdf/10.1002/3527600434.eap732","host_type":"publisher"},{"url":"https://doi.org/10.1002/3527600434.eap732","host_type":"journal"},{"url":"http://hdl.handle.net/11104/0258266","host_type":"repository"}],"fields_of_study":["Differential Equations and Boundary 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