Zobrazeno 1 - 10 of 32 pro vyhledávání: '"M. I. Kadets"'
1
Elektronická kniha
Rearrangements of Series in Banach Spaces
Autor: V. M. Kadets, M. I. Kadets
In a contemporary course in mathematical analysis, the concept of series arises as a natural generalization of the concept of a sum over finitely many elements, and the simplest properties of finite sums carry over to infinite series. Standing as an
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2
On absolute, perfect, and unconditional convergences of double series in Banach spaces
Autor: M. I. Kadets
Publikováno v: Ukrainian Mathematical Journal. 49:1158-1168
We prove that, in the case of double series, perfect and unconditional convergences coincide, while absolute and perfect convergences do not coincide even for numerical series.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ddd1a07a34106767cb7fb8a38389d29b
https://doi.org/10.1007/bf02487545
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3
Continuation of a linear operator to an involution operator
Autor: M. I. Kadets, K. É. Kaibkhanov
Publikováno v: Mathematical Notes. 61:561-565
A bounded linear operatorA:X→X in a linear topological spaceX is called ap-involution operator,p≥2, ifAp=I, whereI is the identity operator. In this paper, we describe linearp-involution operators in a linear topological space over the field ℂ
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4bb70ba95f47d04c12a55e731a5ceb75
https://doi.org/10.1007/bf02355076
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4
A sufficient condition for strong almost-periodicity of scalarly almost periodic representations of the group of real numbers
Autor: M. I. Kadets
Publikováno v: Ukrainian Mathematical Journal. 49:576-580
We prove the following theorem: If every separable subspace Y of a Banach space X has a separable weak sequential closure in Y**, then every scalarly almost periodic group acting in X is strongly almost periodic.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::58ad4dbe3e726fda9c02d06aca47ee40
https://doi.org/10.1007/bf02487320
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7
Conditional Convergence in an Infinite-Dimensional Space
Autor: Vladimir Kadets, M. I. Kadets
Publikováno v: Series in Banach Spaces ISBN: 9783034899420
Throughout this chapter we shall consider mainly the classical L p spaces (with the exception of §3). The transition to a more general situation will be made later, after an exposition of the necessary supplementary material.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4fc1afa3b91222d9debdf703dc8e5c23
https://doi.org/10.1007/978-3-0348-9196-7_4
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8
Orlicz’s Theorem and The Structure of Finite-Dimensional Subspaces
Autor: M. I. Kadets, Vladimir Kadets
Publikováno v: Series in Banach Spaces ISBN: 9783034899420
In the preceding chapters we have often encountered assertions of the following type: from a certain property of the sum of a finite number of elements follows a certain theorem on series in an infinite-dimensional space. Since any finite set of elem
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0ac3c1510180e95ece48d16e1feeb092
https://doi.org/10.1007/978-3-0348-9196-7_6
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9
Rearrangements of Series in Topological Vector Spaces
Autor: Vladimir Kadets, M. I. Kadets
Publikováno v: Series in Banach Spaces ISBN: 9783034899420
There are many types of convergence that cannot be defined in terms of a norm. In this chapter we will examine the problem of the validity of Steinitz’s theorem when the convergence of series is understood in the sense of the weak topology of a nor
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a03068657273573561a8e63d608733b7
https://doi.org/10.1007/978-3-0348-9196-7_9
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