Appell Bases on Sequence Spaces
نویسندگان
چکیده
منابع مشابه
Semi-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]. ...
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In this paper we develop a natural generalization of Schauder basis theory, we term operator-valued basis or simply ov-basis theory, using operator-algebraic methods. We prove several results for ov-basis concerning duality, orthogonality, biorthogonality and minimality. We prove that the operators of a dual ov-basis are continuous. We also dene the concepts of Bessel, Hilbert ov-basis and obta...
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متن کاملoperator-valued bases on hilbert spaces
in this paper we develop a natural generalization of schauder basis theory, we term operator-valued basis or simply ov-basis theory, using operator-algebraic methods. we prove several results for ov-basis concerning duality, orthogonality, biorthogonality and minimality. we prove that the operators of a dual ov-basis are continuous. we also de ne the concepts of bessel, hilbert ov-basis and obt...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 2021
ISSN: 1776-0852
DOI: 10.1142/s1402925111001362