Bari bases of subspaces

A. S. Markus

doi:10.1007/BF01410798

Bari bases of subspaces

A. S. Markus

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Abstract

We shall establish certain characteristic properties of Bari^* bases of subspaces. We shall show that a complete sequence of finite-dimensional subspaces {N_j}₁^∞ is a Bari basis if and only if each sequence {ψ_j{₁^∞(ψ_j€N_j, {norm of matrix}ψ_j{norm of matrix}=1) is a Bari basis of its own closed linear hull.

Original language	English
Pages (from-to)	277-281
Number of pages	5
Journal	Mathematical Notes of the Academy of Sciences of the USSR
Volume	5
Issue number	4
DOIs	https://doi.org/10.1007/BF01410798
State	Published - 1 Jan 1969
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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title = "Bari bases of subspaces",

abstract = "We shall establish certain characteristic properties of Bari* bases of subspaces. We shall show that a complete sequence of finite-dimensional subspaces \{Nj\}1∞ is a Bari basis if and only if each sequence \{ψj\{1∞(ψj€Nj, \{norm of matrix\}ψj\{norm of matrix\}=1) is a Bari basis of its own closed linear hull.",

author = "Markus, \{A. S.\}",

year = "1969",

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doi = "10.1007/BF01410798",

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T1 - Bari bases of subspaces

AU - Markus, A. S.

PY - 1969/1/1

Y1 - 1969/1/1

N2 - We shall establish certain characteristic properties of Bari* bases of subspaces. We shall show that a complete sequence of finite-dimensional subspaces {Nj}1∞ is a Bari basis if and only if each sequence {ψj{1∞(ψj€Nj, {norm of matrix}ψj{norm of matrix}=1) is a Bari basis of its own closed linear hull.

AB - We shall establish certain characteristic properties of Bari* bases of subspaces. We shall show that a complete sequence of finite-dimensional subspaces {Nj}1∞ is a Bari basis if and only if each sequence {ψj{1∞(ψj€Nj, {norm of matrix}ψj{norm of matrix}=1) is a Bari basis of its own closed linear hull.

UR - https://www.scopus.com/pages/publications/34250498000

U2 - 10.1007/BF01410798

DO - 10.1007/BF01410798

M3 - Article

AN - SCOPUS:34250498000

SN - 0001-4346

VL - 5

SP - 277

EP - 281

JO - Mathematical Notes of the Academy of Sciences of the USSR

JF - Mathematical Notes of the Academy of Sciences of the USSR

IS - 4

ER -

Bari bases of subspaces

Abstract

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