Results 21 to 30 of about 73,216 (207)

Leray-Schauder results for multivalued nonlinear contractions defined on closed subsets of a Fréchet space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
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
doaj   +1 more source

M-constants in Orlicz Spaces Equipped with the Luxemburg Norm

open access: yesJournal of Harbin University of Science and Technology, 2022
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
doaj   +1 more source

Frequently hypercyclic bilateral shifts [PDF]

open access: yes, 2017
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.
core   +2 more sources

Kaleva-Seikkala’s Type Fuzzy b-Metric Spaces and Several Contraction Mappings

open access: yesJournal of Function Spaces, 2022
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
doaj   +1 more source

Entire Analytic Functions of Unbounded Type on Banach Spaces and Their Lineability

open access: yesAxioms, 2021
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
doaj   +1 more source

On sequence spaces for Fr\'echet frames

open access: yes, 2008
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
core   +1 more source

On Some Properties of Banach Space-Valued Fibonacci Sequence Spaces

open access: yesCommunications in Advanced Mathematical Sciences
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
doaj   +1 more source

Banach spaces for which the space of operators has 2𝔠 closed ideals

open access: yesForum of Mathematics, Sigma, 2021
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
doaj   +1 more source

Generating classes of perfect Banach sequence spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1972
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]

open access: yesJournal of Function Spaces and Applications, 2013
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
doaj   +1 more source

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