Results 21 to 30 of about 73,216 (207)
New Leray-Schauder results are presented for multivalued contractions defined on subsets of a Fréchet space E. The proof relies on fixed point results in Banach spaces and on viewing E as the projective limit of a sequence of Banach spaces.
Ravi P. Agarwal, Donal O'Regan
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M-constants in Orlicz Spaces Equipped with the Luxemburg Norm
Riesz angle μ2(x)is an important geometric constant in Banach lattice spaces, which is closely related to the fixed point properties of spaces. In this paper, the M-constants of Orlicz function spaces and Orlicz sequence spaces equipped with Luxemburg ...
WANG Zi-xuan, CUI Yun-an, WANG Jing
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Frequently hypercyclic bilateral shifts [PDF]
It is not known if the inverse of a frequently hypercyclic bilateral weighted shift on $c_0(\mathbb{Z})$ is again frequently hypercyclic. We show that the corresponding problem for upper frequent hypercyclicity has a positive answer.
Grosse-Erdmann, Karl-G.
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Kaleva-Seikkala’s Type Fuzzy b-Metric Spaces and Several Contraction Mappings
In this paper, we introduce the concept of Kaleva-Seikkala’s type fuzzy b-metric spaces as a generalization of the notion of b-metric spaces and fuzzy metric spaces.
Shu-Fang Li, Fei He, Shu-Min Lu
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Entire Analytic Functions of Unbounded Type on Banach Spaces and Their Lineability
In the paper we establish some conditions under which a given sequence of polynomials on a Banach space X supports entire functions of unbounded type, and construct some counter examples.
Andriy Zagorodnyuk, Anna Hihliuk
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On sequence spaces for Fr\'echet frames
We analyze the construction of a sequence space $\widetilde{\Theta}$, resp. a sequence of sequence spaces, in order to have $\{g_i\}$ as a $\widetilde{\Theta}$-frame or Banach frame for a Banach space $X$, resp. pre-$F$-frame or $F$-frame for a Fr\'echet
Albiac F. +5 more
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On Some Properties of Banach Space-Valued Fibonacci Sequence Spaces
In this work, we give some results about the basic properties of the vector-valued Fibonacci sequence spaces. In general, sequence spaces with Banach space-valued cannot have a Schauder Basis unless the terms of the sequences are complex or real terms ...
Seçkin Yalçın, Yılmaz Yılmaz
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Banach spaces for which the space of operators has 2𝔠 closed ideals
We formulate general conditions which imply that ${\mathcal L}(X,Y)$, the space of operators from a Banach space X to a Banach space Y, has $2^{{\mathfrak {c}}}$ closed ideals, where ${\mathfrak {c}}$ is the cardinality of the continuum.
Daniel Freeman +2 more
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Generating classes of perfect Banach sequence spaces [PDF]
A perfect sequence space A is said to be a step if 11 'Z cJ'10 and A is a Banach space in its strong topology from ...
openaire +2 more sources
New Sequence Spaces and Function Spaces on Interval [0,1]
We study the sequence spaces and the spaces of functions defined on interval 0,1 in this paper. By a new summation method of sequences, we find out some new sequence spaces that are interpolating into spaces between ℓp and ℓq and function spaces that are
Cheng-Zhong Xu, Gen-Qi Xu
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