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On Convergence Subsystems of Orthonormal Systems
-
G. Bareladze
Published/Copyright:
February 18, 2010
Abstract
It is proved that for any sequence 
of real numbers satisfying Rk ≥ k (k ≥ 1) and Rk = o(k log2k), k → ∞, there exists a orthonormal system 
, x ∈ (0; 1), such that none of its subsystems 
with nk ≤ Rk (k ≥ 1) is a convergence subsystem.
Received: 1993-02-25
Published Online: 2010-02-18
Published in Print: 1994-June
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- Sturm's Theorem for Equations with Delayed Argument
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Articles in the same Issue
- Some Open Problems About the Solutions of the Delay Difference Equation
- On Convergence Subsystems of Orthonormal Systems
- A Second-Order Nonlinear Problem with Two-Point and Integral Boundary Conditions
- Two-Dimensional Problems of Stationary Flow of A Noncompressible Viscous Fluid in the Case of Ozeen's Linearization
- Sturm's Theorem for Equations with Delayed Argument
- On the Cardinality of A Semi-Algebraic Set
- On Some Properties of Multiple Conjugate Trigonometric Series
- On Some Two-Point Boundary Value Problems for Two-Dimensional Systems of Ordinary Differential Equations
- Limit Behavior of Solutions of Ordinary Linear Differential Equations
- Contact Problems for Two Anisotropic Half-Planes with Slits
