03823nam 2200625 450 991081908450332120170822144504.01-4704-0620-9(CKB)3360000000465187(EBL)3114273(SSID)ssj0000889016(PQKBManifestationID)11453163(PQKBTitleCode)TC0000889016(PQKBWorkID)10876002(PQKB)11488566(MiAaPQ)EBC3114273(RPAM)16824481(PPN)195418921(EXLCZ)99336000000046518720150417h20112011 uy 0engur|n|---|||||txtccrIterated function systems, moments, and transformations of infinite matrices /Palle E.T. Jorgensen, Keri A. Kornelson, Karen L. ShumanProvidence, Rhode Island :American Mathematical Society,2011.©20111 online resource (105 p.)Memoirs of the American Mathematical Society,0065-9266 ;Number 1003"September 2011, volume 213, number 1003 (fourth of 5 numbers)."0-8218-5248-5 Includes bibliographical references.""Contents""; ""Preface""; ""Chapter 1. Notation""; ""1.1. Hilbert space notation""; ""1.2. Unbounded operators""; ""1.3. Multi-index notation""; ""1.4. Moments and moment matrices""; ""1.5. Computations with infinite matrices""; ""1.6. Inverses of infinite matrices""; ""Chapter 2. The moment problem""; ""2.1. The moment problem M = M()""; ""2.2. A Parthasarathy-Kolmogorov approach to the moment problem""; ""2.3. Examples""; ""2.4. Historical notes""; ""Chapter 3. A transformation of moment matrices: the affine case""; ""3.1. Affine maps""""3.2. IFSs and fixed points of the Hutchinson operator""""3.3. Preserving Hankel matrix structure""; ""Chapter 4. Moment matrix transformation: measurable maps""; ""4.1. Encoding matrix A for ""; ""4.2. Approximation of A with finite matrices""; ""Chapter 5. The Kato-Friedrichs operator""; ""5.1. The quadratic form QM""; ""5.2. The closability of QM""; ""5.3. A factorization of the Kato-Friedrichs operator""; ""5.4. Kato connection to A matrix""; ""5.5. Examples""; ""Chapter 6. The integral operator of a moment matrix""; ""6.1. The Hilbert matrix""""6.2. Integral operator for a measure supported on [-1,1]""""Chapter 7. Boundedness and spectral properties""; ""7.1. Bounded Kato operators""; ""7.2. Projection-valued measures""; ""7.3. Spectrum of the Kato operator""; ""7.4. Rank of measures""; ""7.5. Examples""; ""Chapter 8. The moment problem revisited""; ""8.1. The shift operator and three incarnations of symmetry""; ""8.2. Self-adjoint extensions of a shift operator""; ""8.3. Self-adjoint extensions and the moment problem""; ""8.4. Jacobi representations of matrices""""8.5. The triple recursion relation and extensions to higher dimensions""""8.6. Concrete Jacobi matrices""; ""Acknowledgements""; ""Bibliography""Memoirs of the American Mathematical Society ;Number 1003.Infinite matricesTransformations (Mathematics)Iterative methods (Mathematics)Infinite matrices.Transformations (Mathematics)Iterative methods (Mathematics)512.9/434 Jørgensen Palle E. T.1947-1663639Kornelson Keri A.1967-Shuman Karen L.1973-MiAaPQMiAaPQMiAaPQBOOK9910819084503321Iterated function systems, moments, and transformations of infinite matrices4108368UNINA03693nam 2201141z- 450 991058021380332120220706(CKB)5690000000011950(oapen)https://directory.doabooks.org/handle/20.500.12854/87455(oapen)doab87455(EXLCZ)99569000000001195020202207d2022 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierCreating Age-friendly CommunitiesHousing and TechnologyBaselMDPI - Multidisciplinary Digital Publishing Institute20221 online resource (228 p.)3-0365-4400-3 3-0365-4399-6 The "Creating Age-friendly Communities: Housing and Technology" publication presents contemporary, innovative, and insightful narratives, debates, and frameworks based on an international collection of papers from scholars spanning the fields of gerontology, social sciences, architecture, computer science, and gerontechnology. This extensive collection of papers aims to move the narrative and debates forward in this interdisciplinary field of age-friendly cities and communities.Creating Age-friendly Communities Medicine and NursingbicsscAge in Placeaids and adaptationsartificial intelligenceAustraliabuilt environmentCanadacardiologycitizen scienceclinical careco-designcommunity carecommunity networksConnected Healthdementiadementia-friendly environmentsdigital life-worldDisabilitydomestic settingsengagementformal caregiversgerontechnologyGISgreen care farmsICTinformal caregiversintergenerationalIntergenerational Relationshipsliving alonelonelinesslong-term care facilitiesmeaningful activitiesn/anursing homenursing homesolder adultsolder age-friendly housingolder immigrantsolder peopleperspectivesphysical environment/spaceprimary careprivacyqualitative research methodsresearch ethicsretirement communityrobotsrural ageingscoping reviewsmall-scale livingsmart citiessmart healthSmart Technologysocial connectednesssocial interactionspatialtechnologytransitionU.S.urban neighbourhoodswearable devicesMedicine and Nursingvan Hoof Joostedt786440Marston Hannah RedtBrittain KatieedtBarrie Helenedtvan Hoof JoostothMarston Hannah RothBrittain KatieothBarrie HelenothBOOK9910580213803321Creating Age-friendly Communities3029431UNINA