Hilbertian, Besselian, and semi-shrinking bases
نویسندگان
چکیده
منابع مشابه
Subspaces and Quotients of Banach Spaces with Shrinking Unconditional Bases
The main result is that a separable Banach space with the weak∗ unconditional tree property is isomorphic to a subspace as well as a quotient of a Banach space with a shrinking unconditional basis. A consequence of this is that a Banach space is isomorphic to a subspace of a space with an unconditional basis iff it is isomorphic to a quotient of a space with an unconditional basis, which solves...
متن کاملOn Quotients of Banach Spaces Having Shrinking Unconditional Bases
It is proved that if a Banach space Y is a quotient of a Banach space having a shrinking unconditional basis, then every normalized weakly null sequence in Y has an unconditional subsequence. The proof yields the corollary that every quotient of Schreier's space is c o-saturated. §0. Introduction. We shall say that a Banach space Y has property (WU) if every normalized weakly null sequence in Y...
متن کاملSemi-homogeneous Bases in Orlicz Sequence Spaces
A Schauder basis (xn) of a Banach space X is said to be lower [upper] semi-homogeneous if every normalized block basic sequence of (xn) dominates [is dominated by] the basis. We show that the unit vector basis of a separable Orlicz sequence space `M , with M(1) = 1 is lower [upper] semihomogeneous if and only if M fulfils some kind of super[sub]-multiplicative inequality on the interval[0, 1]. ...
متن کاملSemi-Simple Commutative Algebras with Positive Bases
Algebras that serve as models for concurrent studying of certain aspects of both the algebra of ordinary characters and the center of the group algebra have been considered by various authors. In this article we o¤er another such model. The main di¤erences between our model and the known ones are: 1. Our model includes Brauer characters and principal indecomposable characters as special cases. ...
متن کاملProcessing Semi-Structured Data in Object Bases
We address the problem of null values and other forms of semi-structured data in object-oriented databases. Various aspects and issues concerning semi-structured data that are currently presented in the literature are discussed in the paper. We propose a new universal approach to semi-structured data based on the idea of absent objects. The idea covers null values and union types and can be smo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1971
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-37-3-203-211