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C-Algebra Extensions and K-Homology. (AM-95), Volume 95 / / Ronald G. Douglas
C-Algebra Extensions and K-Homology. (AM-95), Volume 95 / / Ronald G. Douglas
Autore Douglas Ronald G.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (94 pages) : illustrations
Disciplina 512/.55
Collana Annals of Mathematics Studies
Soggetto topico C*-algebras
K-theory
Algebra, Homological
Soggetto non controllato Addition
Affine transformation
Algebraic topology
Atiyah–Singer index theorem
Automorphism
Banach algebra
Bijection
Boundary value problem
Bundle map
C*-algebra
Calculation
Cardinal number
Category of abelian groups
Characteristic class
Chern class
Clifford algebra
Coefficient
Cohomology
Compact operator
Completely positive map
Contact geometry
Continuous function
Corollary
Diagram (category theory)
Diffeomorphism
Differentiable manifold
Differential operator
Dimension (vector space)
Dimension function
Dimension
Direct integral
Direct proof
Eigenvalues and eigenvectors
Equivalence class
Equivalence relation
Essential spectrum
Euler class
Exact sequence
Existential quantification
Fiber bundle
Finite group
Fredholm operator
Fredholm
Free abelian group
Fundamental class
Fundamental group
Hardy space
Hermann Weyl
Hilbert space
Homological algebra
Homology (mathematics)
Homomorphism
Homotopy
Ideal (ring theory)
Inner automorphism
Irreducible representation
K-group
K-theory
Lebesgue space
Locally compact group
Maximal compact subgroup
Michael Atiyah
Monomorphism
Morphism
Natural number
Natural transformation
Normal operator
Operator algebra
Operator norm
Operator theory
Orthogonal group
Pairing
Piecewise linear manifold
Polynomial
Pontryagin class
Positive and negative parts
Positive map
Pseudo-differential operator
Quaternion
Quotient algebra
Self-adjoint operator
Self-adjoint
Simply connected space
Smooth structure
Special case
Stein manifold
Strong topology
Subalgebra
Subgroup
Subset
Summation
Tangent bundle
Theorem
Todd class
Topology
Torsion subgroup
Unitary operator
Universal coefficient theorem
Variable (mathematics)
Von Neumann algebra
ISBN 1-4008-8146-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter 1. An Overview -- Chapter 2. Ext as a Group -- Chapter 3. Ext as a Homotopy Functor -- Chapter 4. Generalized Homology Theory and Periodicity -- Chapter 5. Ext as K-Homology -- Chapter 6. Index Theorems snd Novikov's Higher Signatures -- References -- Index -- Index of Symbols -- Backmatter
Record Nr. UNINA-9910154752903321
Douglas Ronald G.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Positive definite matrices [[electronic resource] /] / Rajendra Bhatia
Positive definite matrices [[electronic resource] /] / Rajendra Bhatia
Autore Bhatia Rajendra <1952->
Edizione [Course Book]
Pubbl/distr/stampa Princeton, N.J., : Princeton University Press, c2007
Descrizione fisica 1 online resource (265 p.)
Disciplina 512.9/434
Collana Princeton series in applied mathematics
Soggetto topico Matrices
Soggetto non controllato Addition
Analytic continuation
Arithmetic mean
Banach space
Binomial theorem
Block matrix
Bochner's theorem
Calculation
Cauchy matrix
Cauchy–Schwarz inequality
Characteristic polynomial
Coefficient
Commutative property
Compact space
Completely positive map
Complex number
Computation
Continuous function
Convex combination
Convex function
Convex set
Corollary
Density matrix
Diagonal matrix
Differential geometry
Eigenvalues and eigenvectors
Equation
Equivalence relation
Existential quantification
Extreme point
Fourier transform
Functional analysis
Fundamental theorem
G. H. Hardy
Gamma function
Geometric mean
Geometry
Hadamard product (matrices)
Hahn–Banach theorem
Harmonic analysis
Hermitian matrix
Hilbert space
Hyperbolic function
Infimum and supremum
Infinite divisibility (probability)
Invertible matrix
Lecture
Linear algebra
Linear map
Logarithm
Logarithmic mean
Mathematics
Matrix (mathematics)
Matrix analysis
Matrix unit
Metric space
Monotonic function
Natural number
Open set
Operator algebra
Operator system
Orthonormal basis
Partial trace
Positive definiteness
Positive element
Positive map
Positive semidefinite
Positive-definite function
Positive-definite matrix
Probability measure
Probability
Projection (linear algebra)
Quantity
Quantum computing
Quantum information
Quantum statistical mechanics
Real number
Riccati equation
Riemannian geometry
Riemannian manifold
Riesz representation theorem
Right half-plane
Schur complement
Schur's theorem
Scientific notation
Self-adjoint operator
Sign (mathematics)
Special case
Spectral theorem
Square root
Standard basis
Summation
Tensor product
Theorem
Toeplitz matrix
Unit vector
Unitary matrix
Unitary operator
Upper half-plane
Variable (mathematics)
ISBN 1-282-12974-0
9786612129742
1-4008-2778-7
Classificazione SK 220
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter One. Positive Matrices -- Chapter Two. Positive Linear Maps -- Chapter Three. Completely Positive Maps -- Chapter Four. Matrix Means -- Chapter Five. Positive Definite Functions -- Chapter Six. Geometry of Positive Matrices -- Bibliography -- Index -- Notation
Record Nr. UNINA-9910777727303321
Bhatia Rajendra <1952->  
Princeton, N.J., : Princeton University Press, c2007
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui