Results 71 to 80 of about 2,619,038 (184)
The ergodicity of Orlicz sequence spaces
Journal of Functional AnalysisWe prove that non-Hilbertian separable Orlicz sequence spaces are ergodic, i.e., the equivalence relation $\mathbb{E}_0$ Borel reduces to the isomorphism relation between subspaces of every such space. This is done by exhibiting non-Hilbertian asymptotically Hilbertian subspaces in those spaces, and appealing to a result by Anisca.
Noé de Rancourt, Ondřej Kurka
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Superlinear perturbations of a double‐phase eigenvalue problem
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We consider a perturbed version of an eigenvalue problem for the double‐phase operator. The perturbation is superlinear, but need not satisfy the Ambrosetti–Robinowitz condition. Working on the Sobolev–Orlicz space W01,η(Ω)$ W^{1,\eta }_{0}(\Omega)$ with η(z,t)=α(z)tp+tq$ \eta (z,t)=\alpha (z)t^{p}+t^{q}$ for 1
Yunru Bai +2 more
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On Generalized Orlicz Sequence Spaces Defined by Double Sequences
Fasciculi Mathematici, 2015 Abstract S.D. Parashar and B. Choudhary defined in 1994 certain paranorms for some Orlicz sequence spaces. Their ideas are applied later for topologization of various generalized Orlicz sequence spaces. The author determines in 2011 some alternative F-seminorms (which are also paranorms) for such spaces. In this paper these results are extended to
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DIFFERENCE SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS
Demonstratio Mathematica, 1999 There are five results in this paper. Given a sequence \(x= (x_k)\), \(\Delta x_k\) stands for \(x_k- x_{k+1}\) and \(\Delta x= (\Delta x_k: k= 1,2,\dots)\). Let \(\ell_\infty\), \(c\), \(c_0\) be the spaces of the bounded, the convergent and the null sequences, respectively.
Mursaleen, Khan, Mushir A., Qamaruddin
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Normalized solutions of the critical Schrödinger–Bopp–Podolsky system with logarithmic nonlinearity
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract In this paper, we study the following critical Schrödinger–Bopp–Podolsky system driven by the p$p$‐Laplace operator and a logarithmic nonlinearity: −Δpu+V(εx)|u|p−2u+κϕu=λ|u|p−2u+ϑ|u|p−2ulog|u|p+|u|p*−2uinR3,−Δϕ+a2Δ2ϕ=4π2u2inR3.$$\begin{equation*} {\begin{cases} -\Delta _p u+\mathcal {V}(\varepsilon x)|u|^{p-2}u+\kappa \phi u=\lambda |u|^{p-2 ...
Sihua Liang +3 more
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Some generalized difference double sequence spaces defined by a sequence of Orlicz-functions
Cubo, 2012 In the present paper we introduce some generalized difference double sequence spaces defined by a sequence of Orlicz-functions. We study some topological properties and some inclusion relations between these spaces.
Kuldip Raj, Sunil K Sharma
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Some Classes of Difference Sequence Spaces of Fuzzy Real Numbers Defined by Orlicz Function
Advances in Fuzzy Systems, 2011 We introduce the classes of generalized difference bounded, convergent, and null sequences of fuzzy real numbers defined by an Orlicz function. Some properties of these sequence spaces like solidness, symmetricity, and convergence-free are studied.
Binod Chandra Tripathy, Stuti Borgohain
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The domination theorem for operator classes generated by Orlicz spaces
Mathematische Nachrichten, Volume 298, Issue 11, Page 3576-3598, November 2025.Abstract We study lattice summing operators between Banach spaces focusing on two classes, ℓφ$\ell _\varphi$‐summing and strongly φ$\varphi$‐summing operators, which are generated by Orlicz sequence lattices ℓφ$\ell _\varphi$. For the class of strongly φ$\varphi$‐summing operators, we prove the domination theorem, which complements Pietsch's ...
D. L. Fernandez +3 more
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Uniform rotundity of Musielak-Orlicz sequence spaces [PDF]
, 1986 We present a criterion for uniform rotundity of Musielak-Orlicz sequence spaces. In particular, we get a better characterization of uniform rotundity of Banach spaces l({pi}), called Nakano spaces, considered by K. Sundaresan (Studia Math. 39 (1971), 227–
Kamińska, Anna
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The property ($\beta $) of Orlicz-Bochner sequence spaces
, 2001 summary:A characterization of property $(\beta )$ of an arbitrary Banach space is given. Next it is proved that the Orlicz-Bochner sequence space $l_\Phi (X)$ has the property $(\beta )$ if and only if both spaces $l_\Phi $ and $X$ have it also.
Kolwicz, Paweł
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