03666nam 22006974a 450 991045175030332120200520144314.03-7643-8648-7(CKB)1000000000492078(EBL)364317(OCoLC)288568302(SSID)ssj0000215728(PQKBManifestationID)11199135(PQKBTitleCode)TC0000215728(PQKBWorkID)10193792(PQKB)11263224(DE-He213)978-3-7643-8648-1(MiAaPQ)EBC364317(PPN)129063290(Au-PeEL)EBL364317(CaPaEBR)ebr10253460(EXLCZ)99100000000049207820071204d2008 uy 0engurcn|||||||||txtccrOptimal domain and integral extension of operators[electronic resource] acting in function spaces /Susumu Okada, Werner J. Ricker, Enrique A. Sánchez Pérez1st ed. 2008.Basel ;Boston Birkhäuser20081 online resource (410 p.)Operator theory, advances, and applications ;v. 180Description based upon print version of record.3-7643-8647-9 Includes bibliographical references and index.Quasi-Banach Function Spaces -- Vector Measures and Integration Operators -- Optimal Domains and Integral Extensions -- p-th Power Factorable Operators -- Factorization of p-th Power Factorable Operators through Lq-spaces -- Operators from Classical Harmonic Analysis.Operator theory and functional analysis have a long tradition, initially being guided by problems from mathematical physics and applied mathematics. Much of the work in Banach spaces from the 1930's onwards resulted from investigating how much real (and complex) variable function theory might be extended to futions taking values in (function) spaces or operators acting in them. Many of the first ideas in geometry, basis theory and the isomorphic theory of Banach spaces have vector measure-theoretic origins and can be credited (amongst others) to N. Dunford, I.M. Gelfand, B.J. Pettis and R.S. Phillips. Somewhat later came the penetrating contributions of A.Grothendieck, which have pervaded and influenced the shape of functional analysis and the theory of vector measures/integration ever since. Today, each of the areas of functional analysis/operator theory, Banach spaces, and vector measures/integration is a strong discipline in its own right. However, it is not always made clear that these areas grew up together as cousins and that they had, and still have, enormous influences on one another. One of the aims of this monograph is to reinforce and make transparent precisely this important point.Operator theory, advances and applications ;v. 180.Set functionsLinear operatorsFunction spacesFunctional analysisIntegral operatorsElectronic books.Set functions.Linear operators.Function spaces.Functional analysis.Integral operators.515/.7246Okada Susumu874077Ricker Werner1954-62482Sánchez Pérez Enrique A310989MiAaPQMiAaPQMiAaPQBOOK9910451750303321Optimal domain and integral extension of operators1951549UNINA05418nam 2200673Ia 450 99620209540331620240418064328.01-281-31276-297866113127630-470-99939-X0-470-99938-1(CKB)1000000000413319(EBL)351447(OCoLC)437218697(SSID)ssj0000309896(PQKBManifestationID)11237642(PQKBTitleCode)TC0000309896(PQKBWorkID)10283539(PQKB)11722742(MiAaPQ)EBC351447(Au-PeEL)EBL351447(CaPaEBR)ebr10240515(CaONFJC)MIL131276(PPN)143489933(EXLCZ)99100000000041331920010409d2002 uy 0engur|n|---|||||txtrdacontentcrdacontentcrrdacarrierSolid-state NMR spectroscopy principles and applications /edited by Melinda J. Duer1st ed.Oxford :Blackwell Science,[2002]1 online resource (562 pages)Description based upon print version of record.0-632-05351-8 Includes bibliographical references and index.Solid-State NMR Spectroscopy Principles and Applications; List of Contributors; Contents; Index; Preface; Acknowledgements; Part I The Theory of Solid-State NMR and its Experiments; 1 The Basics of Solid-State NMR; 1.1 The vector model of pulsed NMR; 1.1.1 Nuclei in a static, uniform magnetic field; 1.1.2 The effect of rf pulses; 1.2 The quantum mechanical picture: hamiltonians and the Schrödinger equation; Box 1.1 Quantum mechanics and NMR; 1.2.1 Nuclei in a static, uniform field; 1.2.2 The effect of rf pulses; Box 1.2 Exponential operators, rotation operators and rotations1.3 The density matrix representation and coherences1.3.1 Coherences and populations; 1.3.2 The density operator at thermal equilibrium; 1.3.3 Time evolution of the density matrix; 1.4 Nuclear spin interactions; 1.4.1 The chemical shift and chemical shift anisotropy; 1.4.2 Dipole-dipole coupling; Box 1.3 Basis sets for multispin systems; 1.4.3 Quadrupolar coupling; 1.5 Calculating NMR powder patterns; 1.6 General features of NMR experiments; 1.6.1 Multidimensional NMR; 1.6.2 Phase cycling; 1.6.3 Quadrature detection; Box 1.4 The NMR spectrometer; References2 Essential Techniques for Spin-1/2 Nuclei2.1 Introduction; 2.2 Magic-angle spinning (MAS); 2.2.1 Spinning sidebands; 2.2.2 Rotor or rotational echoes; 2.2.3 Removing spinning sidebands; 2.2.4 Magic-angle spinning for homonuclear dipolar couplings; 2.3 High-power decoupling; 2.4 Multiple pulse decoupling sequences; Box 2.1 Average hamiltonian theory and the toggling frame; 2.5 Cross-polarization; 2.5.1 Theory; 2.5.2 Experimental details; Box 2.2 Cross-polarization and magic-angle spinning; 2.6 Solid or quadrupole echo pulse sequence; References; 3 Dipolar Coupling: Its Measurement and Uses3.1 IntroductionBox 3.1 The dipolar hamiltonian in terms of spherical tensor operators; 3.2 Techniques for measuring homonuclear dipolar couplings; 3.2.1 Recoupling pulse sequences; Box 3.2 Analysis of the DRAMA pulse sequence; 3.2.2 Double-quantum filtered experiments; 3.2.3 Rotational resonance; Box 3.3 Excitation of double-quantum coherence under magic-angle spinning; 3.3 Techniques for measuring heteronuclear dipolar couplings; Box 3.4 Analysis of the C7 pulse sequence for exciting double-quantum coherence in dipolar-coupled spin pairs; 3.3.1 Spin-echo double resonanceBox 3.5 Theory of rotational resonance3.3.2 Rotational-echo double resonance; Box 3.6 Analysis of the REDOR experiment; 3.4 Techniques for dipolar-coupled quadrupolar (spin-1/2) pairs; 3.4.1 Transfer of population in double resonance; 3.4.2 Rotational echo, adiabatic passage, double resonance; 3.5 Techniques for measuring dipolar couplings between quadrupolar nuclei; 3.6 Correlation experiments; 3.6.1 Homonuclear correlation experiments for spin-systems; 3.6.2 Homonuclear correlation experiments for quadrupolar spin systems; 3.6.3 Heteronuclear correlation experiments for spin-1/23.7 Spin-counting experimentsThis book is for those familiar with solution-state NMR who are encountering solid-state NMR for the first time. It presents the current understanding and applications of solid-state NMR with a rigorous but readable approach, making it easy for someone who merely wishes to gain an overall impression of the subject without details. This dual requirement is met through careful construction of the material within each chapter. The book is divided into two parts: ""Fundamentals"" and ""Further Applications."" The section on Fundamentals contains relatively long chapters that deal with the basNuclear magnetic resonance spectroscopySolid state chemistryNuclear magnetic resonance spectroscopy.Solid state chemistry.543.0877543/.0877Duer Melinda J511753MiAaPQMiAaPQMiAaPQBOOK996202095403316Solid-state NMR spectroscopy1886523UNISA