Dieudonne J.A. — Treatise on Analysis, Vol. 2 :: Электронная библиотека попечительского совета мехмата МГУ

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Dieudonne J.A. — Treatise on Analysis, Vol. 2

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Название: Treatise on Analysis, Vol. 2

Автор: Dieudonne J.A.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1970

Количество страниц: 422

Добавлена в каталог: 09.12.2008

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Предметный указатель

Quasi-regular point (for a measure preserving transformation)      13.11 prob.
Quasi-representative measure      15.3 prob.
Quotient group      12.12
Rademacher functions      13.21 prob.
Rademacher — Kolmogoroff theorem      13.21 prob.
Rademacher — Menchoff theorem      13.11 prob.
Radical of an algebra      15.2 prob.
Real measure      13.2
Real-valued function      12.7
Reducible indempotent      15.8
Regular point (for a measure-preserving transformation)      13.11 prob.
Regular value of an element of a normed algebra      15.2
Regularization of a function or a measure      14.11
Relative minimum of a function      12.7
Relatively invariant measure      14.4 prob.
Representation of an algebra with involution      15.5
Representative measure      15.3 prob.
Residual spectrum      15.12
Restriction of a measure      13.1
Reversible vector      12.15 prob.
Riemann Sums      13.9 prob.
Riesz (theorem of F. and M.      15.3 prob.14
Riesz — Thorin theorem      13.17 prob.
Right-invariant function on a group      12.9
Rokhlin's theorem      13.18 prob.
Rotational mean      14.3 prob.
Saturation of a set with respect to the action of a group      12.10
Scalarly analytic, continuous, differentiable      12.15
Scalarly integrable      13.10
Self-adjoint element or subset of an algebra with involution      15.4
Self-adjoint unbounded operator      15.12
Seminorm      12.14
Separation (of two sets by a hyperplane)      12.15 prob.
Series in a topological vector space      12.14
Simple convergence, limit      12.5
Simple normal operator      15.11
simplex      14.3
Spectral radius      15.2
Spectral value of an element of a normed algebra      15.2
Spectrum of a Banach algebra      15.3
Spectrum of an element of a Banach algebra      15.2
Spectrum of an unbounded operator      15.12
Square-integrable function      13.11
Stabilizer of a point      12.10
Stable subspace (for a representation)      15.5
Star algebra      15.4
Stein's theorem      14.10 prob.
Steiner symmetrization      14.3 prob.
Step function      13.9
Stieltjes measure      13.8 prob.
Stieltjes transform      14.11 prob.
Stieltjes' moment problem      13.20 prob.
Strict morphism      12.12
Strong topology      12.15

subspace      12.2
Sum of a series with positive terms      13.5
Support of a function      12.6
Support of a measure      13.19
Symmetric neighborhood      12.8
Szegoe — Kolmogoroff — Krein theorem      15.3 prob.11
Tessellation (G-)      14.1 prob.
Thue's theorem      14.2 prob.
Titchmarsh — Kodaira formula      15.12 prob.9
Topological group      12.8
Topological isomorphism of normed (or normable) algebras      15.1
Topological space      12.1
Topological zero-divisor      15.2 prob.
Topologically cyclic representation      15.5
Topologically equivalent families of pseudo-distances      12.4
Topologically irreducible representation      15.5
Topologically nilpotent      15.2 prob.
Topologically simple      15.8
topology      12.1
Topology defined by a distance      12.1
Topology defined by a family of pseudo-distances      12.4
Topology defined by a family of seminorms      12.14
Topology of convergence in measure      13.12 prob.
Topology of simple convergence      12.15
Torus      14.2
Total mass of a bounded measure      13.9
Totalizer      15.5
Trace of an operator      15.11 prob.
Transitively (group acting)      12.10
Translation of a function or measure      14.1
Transpose of a continuous linear mapping      12.15
Trivial action      12.10
Type (p,q) (operator)      13.17 prob.
Unbounded operator      15.12
Uniformizable space      12.4
Unimodular group      14.3
Unitary element      15.4
Unitary group      12.15 prob.
Universally measurable      13.9
Upper envelope of a family of real-valued functions      12.7
Upper integral      13.5
Upper semicontinuous function      12.7
Vague topology      13.4
Vaguely bounded, convergent, continuous      13.4
von Neumann's ergodic theorem      12.15 prob.12
von Neumann's theorem on unbounded normal operators      15.12
Wandering set      13.9 prob.
Weak derivative      12.16
Weak integral      13.10
Weak topology      12.15
Weak type (p,p) (operator)      13.21 prob.
Weakly analytic, bounded, closed, compact continuous, convergent, differentiable      12.15
Width of a set      14.3 prob.
Wiener's inequality      13.21 prob.
Young's inequality      14.10 prob.

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