Quasi-isometric measures and their applications

DOI10.1090/S0002-9904-1970-12440-5zbMath0207.44001MaRDI QIDQ5608340

P. R. Masani

Publication date: 1970

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Vector-valued measures and integration (46G10)

Related Items

Random Measures and Applications, The aftermath of Cramér's work on stochastic processes, Additivity of vector Gleason measures, Spectral integrals of operator-valued functions. II: From the study of stationary processes, Independently scattered measures, On the square root of a positive \(B(\mathfrak X\mathfrak X^*)\)-valued function, Generalizations of P. Levy's inversion theorem, Transformation valued measures, Description of orthogonal vector fields over \(W^\ast\)-algebra of type \(I_2\), Multipliers with respect to spectral measures in Banach spaces and approximation. I: Radial multipliers in connection with Riesz-bounded spectral measures, Unnamed Item, Contractive projections and conditional expectations, Weighted H<scp>ardy</scp> Spaces on S<scp>iegel</scp>'s Half Planes, A characterization of regular solutions of a linear stochastic differential equation

Cites Work

• The prediction theory of multivariate stochastic processes. I. The regularity condition. - II. The linear predictor
• Shift invariant spaces and prediction theory
• The square-integrability of matrix-valued functions with respect to a non-negative Hermitian measure
• An abstract stationary approach to perturbation of continuous spectra and scattering theory
• Pointwise limits for sequences of convolution operators
• Representation of additive and biadditive functionals
• Relative self-adjoint operators in Hilbert space
• Semi-groups of isometries and the representation and multiplicity of weakly stationary stochastic processes
• Orthogonally scattered measures
• The time-domain analysis of a continuous parameter weakly stationary stochastic process
• One-parameter semigroups of isometric operators in Hilbert space
• A theorem of Stone and von Neumann
• Weak Compactness and Vector Measures
• Spectral Analysis of Abstract Functions
• Shifts on Hilbert spaces.
• One-Class Genera of Positive Quadratic Forms in Seven Variables
• INTEGRAL REPRESENTATION OF LINEAR CONTINUOUS OPERATORS FROM THE SPACE OF LEBESGUE-BOCHNER SUMMABLE FUNCTIONS INTO ANY BANACH SPACE
• On the representation theorem of scattering
• Analyticity in Operator Algebras
• Isometric flows on Hilbert space
• On Eigenfunction Expansions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item