04302nam 22012015 450 991015474790332120190708092533.01-4008-8226-510.1515/9781400882267(CKB)3710000000627305(MiAaPQ)EBC4738693(DE-B1597)467919(OCoLC)979728853(DE-B1597)9781400882267(EXLCZ)99371000000062730520190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierAn Introduction to Linear Transformations in Hilbert Space. (AM-4), Volume 4 /Francis Joseph MurrayPrinceton, NJ : Princeton University Press, [2016]©19421 online resource (148 pages)Annals of Mathematics Studies ;288Cover-title: Linear transformations in Hilbert space.Lithoprinted.0-691-09569-8 Includes bibliographies.Frontmatter -- PREFACE -- TABLE OF CONTENTS -- Chapter I. INTRODUCTION -- Chapter II. HILBERT SPACE -- Chapter III. REALIZATIONS OF HILBERT SPA -- Chapter IV. ADDITIVE AND CLOSED TRANSFORMATIONS -- Chapter V. WEAK CONVERGENCE -- Chapter VI. PROJECTIONS AND ISOMETRY -- Chapter VII . RESOLUTIONS OF THE IDENTITY -- Chapter VIII . BOUNDED SELF-ADJOINT AND UNITARY TRANSFORMATIONS -- Chapter IX. CANONICAL RESOLUTION AND INTEGRAL REPRESENTATIONS -- Chapter X. SYMMETRIC OPERATORS -- Chapter XI. REFERENCES TO FURTHER DEVELOPMENTS -- Chapter XII. REFERENCES TO APPLICATIONS -- REFERENCESThe description for this book, An Introduction to Linear Transformations in Hilbert Space. (AM-4), Volume 4, will be forthcoming.Annals of mathematics studies ;no. 4.Transformations (Mathematics)HyperspaceAdditive function.Adjoint.Affine space.Axiom.Banach space.Boundary value problem.Cartesian coordinate system.Characteristic function (probability theory).Combination.Commutative property.Compact space.Contradiction.Coordinate system.Corollary.Countable set.Differential operator.Dimension (vector space).Effective method.Equation.Existential quantification.Fourier transform.Function (mathematics).Group algebra.Hamiltonian mechanics.Hamiltonian system.Hilbert space.Integral transform.Jacobi matrix.Lebesgue integration.Limit point.Linear combination.Linear map.Linear space (geometry).Mathematics.Measure (mathematics).Metric space.Moment problem.Mutual exclusivity.Necessity and sufficiency.Normal operator.Operational calculus.Orthonormality.Rational number.Self-adjoint operator.Self-adjoint.Statistic.Step function.Subset.Summation.System of linear equations.Theorem.Topological group.Topology.Unit sphere.Unitary transformation.Vector space.Weak convergence (Hilbert space).Weak convergence.Transformations (Mathematics)Hyperspace.512.86Murray Francis Joseph, 1208595DE-B1597DE-B1597BOOK9910154747903321An Introduction to Linear Transformations in Hilbert Space. (AM-4), Volume 42788316UNINA