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Journal articles on the topic 'Cesàro spaces'

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Published: 4 June 2021
Last updated: 15 February 2022

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1

İnce, H. G. "Cesàro wedge and weak Cesàro wedge FK-spaces." Czechoslovak Mathematical Journal 52, no. 1 (March 2002): 141–54. http://dx.doi.org/10.1023/a:1021731623254.

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2

Leśnik, Karol, and Lech Maligranda. "Abstract Cesàro spaces. Duality." Journal of Mathematical Analysis and Applications 424, no. 2 (April 2015): 932–51. http://dx.doi.org/10.1016/j.jmaa.2014.11.023.

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3

Stempak, Krzysztof. "Cesàro averaging operators." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 124, no. 1 (1994): 121–26. http://dx.doi.org/10.1017/s030821050002922x.

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4

Astashkin, Sergey V., Karol Lesnik, and Lech Maligranda. "Isomorphic Structure of Cesàro and Tandori Spaces." Canadian Journal of Mathematics 71, no. 03 (January 9, 2019): 501–32. http://dx.doi.org/10.4153/cjm-2017-055-8.

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AbstractWe investigate the isomorphic structure of the Cesàro spaces and their duals, the Tandori spaces. The main result states that the Cesàro function space $\text{Ces}_{\infty }$ and its sequence counterpart $\text{ces}_{\infty }$ are isomorphic. This is rather surprising since $\text{Ces}_{\infty }$ (like Talagrand’s example) has no natural lattice predual. We prove that $\text{ces}_{\infty }$ is not isomorphic to $\ell _{\infty }$ nor is $\text{Ces}_{\infty }$ isomorphic to the Tandori space $\widetilde{L_{1}}$ with the norm $\Vert f\Vert _{\widetilde{L_{1}}}=\Vert \widetilde{f}\Vert _{L_{1}}$ , where $\widetilde{f}(t):=\text{ess}\,\sup _{s\geqslant t}|f(s)|$ . Our investigation also involves an examination of the Schur and Dunford–Pettis properties of Cesàro and Tandori spaces. In particular, using results of Bourgain we show that a wide class of Cesàro–Marcinkiewicz and Cesàro–Lorentz spaces have the latter property.
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5

Astashkin, Sergei V., and Lech Maligranda. "Structure of Cesàro function spaces." Indagationes Mathematicae 20, no. 3 (September 2009): 329–79. http://dx.doi.org/10.1016/s0019-3577(10)00002-9.

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6

Astashkin, S. V. "On Subspaces of Cesàro Spaces." Siberian Mathematical Journal 58, no. 6 (November 2017): 952–58. http://dx.doi.org/10.1134/s0037446617060040.

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7

Astashkin, S. V., and L. Maligranda. "Geometry of Cesàro function spaces." Functional Analysis and Its Applications 45, no. 1 (March 2011): 64–68. http://dx.doi.org/10.1007/s10688-011-0007-8.

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8

Leśnik, Karol, and Lech Maligranda. "Abstract Cesàro Spaces. Optimal Range." Integral Equations and Operator Theory 81, no. 2 (December 20, 2014): 227–35. http://dx.doi.org/10.1007/s00020-014-2203-4.

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9

Curbera, Guillermo P., and Werner J. Ricker. "Abstract Cesàro spaces: Integral representations." Journal of Mathematical Analysis and Applications 441, no. 1 (September 2016): 25–44. http://dx.doi.org/10.1016/j.jmaa.2016.03.074.

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10

Al Alam, Ihab, Loïc Gaillard, Georges Habib, Pascal Lefèvre, and Fares Maalouf. "Essential norm of Cesàro operators on L and Cesàro spaces." Journal of Mathematical Analysis and Applications 467, no. 2 (November 2018): 1038–65. http://dx.doi.org/10.1016/j.jmaa.2018.07.038.

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11

Dutta, Hemen. "ON n-NORMED LINEAR SPACE VALUED STRONGLY (C,1)-SUMMABLE DIFFERENCE SEQUENCES." Asian-European Journal of Mathematics 03, no. 04 (December 2010): 565–75. http://dx.doi.org/10.1142/s1793557110000441.

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In this article we extend the notion of famous strongly ( C ,1)-summable or strongly Cesàro summable real sequences to n-normed linear space valued difference sequences. Consequently we introduce the notions of n-normed linear space (n-nls) valued strongly Cesàro [Formula: see text]-summable, strongly Cesàro [Formula: see text]-null and strongly Cesàro [Formula: see text]-bounded sequences. Further we extend and investigate the notion of n-norm and derived (n - l) - norms, for all l = 1, 2, …, n - 1 on the spaces of these three types of sequences. We also prove the Fixed point theorem for these spaces, which are n-Banach spaces under certain conditions and compute the n-isometrically isomorphic spaces. This article also introduces an idea for constructing n-norm on spaces of n-nls valued summable difference sequences.
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12

Sever, Yurdal, and Bilal Altay. "On some double Cesàro sequence spaces." Filomat 28, no. 7 (2014): 1417–24. http://dx.doi.org/10.2298/fil1407417s.

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In this study, we define the double Ces?ro sequence spaces Cesp, Cesbp and Cesbp0 and examine some properties of those sequence spaces. Furthermore, we determine the ?(bp)-duals of the spaces Cesbp and Cesp.
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13

Astashkin, Sergei V., and Lech Maligranda. "Rademacher functions in Cesàro type spaces." Studia Mathematica 198, no. 3 (2010): 235–47. http://dx.doi.org/10.4064/sm198-3-3.

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14

Carrillo-Alanís, Javier. "Rademacher functions in weighted Cesàro spaces." Studia Mathematica 217, no. 1 (2013): 19–40. http://dx.doi.org/10.4064/sm217-1-2.

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15

Et, Mikail. "Generalized Cesàro Summable Difference Sequence Spaces." ITM Web of Conferences 13 (2017): 01007. http://dx.doi.org/10.1051/itmconf/20171301007.

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16

Andersen, Kenneth F. "Cesàro averaging operators on Hardy spaces." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 126, no. 3 (1996): 617–24. http://dx.doi.org/10.1017/s0308210500022939.

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It is shown that the Cesàro averaging operatorℜα > – 1, satisfies an inequality which immediately implies that it is bounded on certain Hardy spaces including Hp, 0 < p < ∞. This answers an open question of Stempak, who introduced these operators and obtained their boundedness on Hp, 0 < p ≦ 2, for ℜα ≧ 0. The operator which is conjugate to on H2 is also shown to be bounded on Hp for 1 < p < ∞ and ℜα = – 1. This extends a result of Stempak who obtained this boundedness for 2 ≦ p≦ ∞ and ℜα ≧:0.
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17

Mursaleen, M., A. Aghajani, and Kuldip Raj. "Multiplication operators on Cesàro function spaces." Filomat 30, no. 5 (2016): 1175–84. http://dx.doi.org/10.2298/fil1605175m.

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18

Raj, Kuldip, Suruchi Pandoh, and Seema Jamwal. "Composition Operators on Cesàro Function Spaces." Journal of Function Spaces 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/501057.

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The compact, invertible, Fredholm, and closed range composition operators are characterized. We also make an effort to compute the essential norm of composition operators on the Cesàro function spaces.
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19

Ricker, Werner J. "Convolution operators in discrete Cesàro spaces." Archiv der Mathematik 112, no. 1 (October 27, 2018): 71–82. http://dx.doi.org/10.1007/s00013-018-1266-x.

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20

Ünver, Tuğçe. "Embeddings between weighted Cesàro function spaces." Mathematical Inequalities & Applications, no. 3 (2020): 925–42. http://dx.doi.org/10.7153/mia-2020-23-72.

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21

Khan, F. M., M. F. Rahman, Ф. М. Хан, and М. Ф. Рахман. "Infinite matrices and Cesàro sequence spaces." Analysis Mathematica 23, no. 1 (January 1997): 3–11. http://dx.doi.org/10.1007/bf02789826.

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22

Bermúdez, Teresa, Antonio Bonilla, Vladimír Müller, and Alfredo Peris. "Cesàro bounded operators in Banach spaces." Journal d'Analyse Mathématique 140, no. 1 (March 2020): 187–206. http://dx.doi.org/10.1007/s11854-020-0085-8.

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23

Saejung, Satit. "Another look at Cesàro sequence spaces." Journal of Mathematical Analysis and Applications 366, no. 2 (June 2010): 530–37. http://dx.doi.org/10.1016/j.jmaa.2010.01.029.

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24

Hu, Zhangjian. "Extended Cesàro operators on Bergman spaces." Journal of Mathematical Analysis and Applications 296, no. 2 (August 2004): 435–54. http://dx.doi.org/10.1016/j.jmaa.2004.01.045.

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25

Kayaduman, Kuddusi, and Mehmet Şengönül. "Some New Type Sigma Convergent Sequence Spaces and Some New Inequalities." Scientific World Journal 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/589765.

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26

Gu, Dinggui. "Extended Cesàro Operators from Logarithmic-Type Spaces to Bloch-Type Spaces." Abstract and Applied Analysis 2009 (2009): 1–9. http://dx.doi.org/10.1155/2009/246521.

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27

Ramos-Fernández, Julio C., María A. Rivera-Sarmiento, and Margot Salas-Brown. "On the Essential Norm of Multiplications Operators Acting on Cesàro Sequence Spaces." Journal of Function Spaces 2019 (March 3, 2019): 1–5. http://dx.doi.org/10.1155/2019/5069610.

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In this article, we establish an important property about the growth of sequences in the dual space of Cesàro sequence spaces. As a consequence of this fact, we calculate the measure of noncompactness or the essential norm of the multiplication operator Mu acting on Cesàro sequence spaces cesp.
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28

Arvanitidis, Athanasios G., and Aristomenis G. Siskakis. "Cesàro Operators on the Hardy Spaces of the Half-Plane." Canadian Mathematical Bulletin 56, no. 2 (June 1, 2013): 229–40. http://dx.doi.org/10.4153/cmb-2011-153-7.

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AbstractIn this article we study the Cesàro operatorand its companion operator 𝒯 on Hardy spaces of the upper half plane. We identify 𝒞 and 𝒯 as resolvents for appropriate semigroups of composition operators and we find the norm and the spectrum in each case. The relation of 𝒞 and 𝒯 with the corresponding Cesàro operators on Lebesgue spaces Lp(ℝ) of the boundary line is also discussed.
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29

Bonet, José, and Werner J. Ricker. "Operators acting in the dual spaces of discrete Cesàro spaces." Monatshefte für Mathematik 191, no. 3 (January 31, 2020): 487–512. http://dx.doi.org/10.1007/s00605-020-01370-2.

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30

Astashkin, Sergey V., and Lech Maligranda. "Interpolation of Cesàro sequence and function spaces." Studia Mathematica 215, no. 1 (2013): 39–69. http://dx.doi.org/10.4064/sm215-1-4.

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31

Albanese, Angela A., José Bonet, and Werner J. Ricker. "The Cesàro operator on power series spaces." Studia Mathematica 240, no. 1 (2018): 47–68. http://dx.doi.org/10.4064/sm8590-2-2017.

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32

Naik, Sunanda. "Generalized Cesàro operators on certain function spaces." Annales Polonici Mathematici 98, no. 2 (2010): 189–99. http://dx.doi.org/10.4064/ap98-2-6.

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33

Astashkin, Sergey V., and Lech Maligranda. "Structure of Cesàro function spaces: a survey." Banach Center Publications 102 (2014): 13–40. http://dx.doi.org/10.4064/bc102-0-1.

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34

PEDERSEN, THOMAS VILS. "GENERALIZED HARDY–CESÀRO OPERATORS BETWEEN WEIGHTED SPACES." Glasgow Mathematical Journal 61, no. 1 (January 28, 2018): 13–24. http://dx.doi.org/10.1017/s0017089517000398.

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AbstractWe characterize those non-negative, measurable functions ψ on [0, 1] and positive, continuous functions ω1 and ω2 on ℝ+ for which the generalized Hardy–Cesàro operator $$\begin{equation*}(U_{\psi}f)(x)=\int_0^1 f(tx)\psi(t)\,dt\end{equation*}$$ defines a bounded operator Uψ: L1(ω1) → L1(ω2) This generalizes a result of Xiao [7] to weighted spaces. Furthermore, we extend Uψ to a bounded operator on M(ω1) with range in L1(ω2) ⊕ ℂδ0, where M(ω1) is the weighted space of locally finite, complex Borel measures on ℝ+. Finally, we show that the zero operator is the only weakly compact generalized Hardy–Cesàro operator from L1(ω1) to L1(ω2).
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35

Raj, Kuldip, Charu Sharma, and Suruchi Pandoh. "Multiplication Operators on Cesàro-Orlicz Sequence Spaces." Fasciculi Mathematici 57, no. 1 (December 1, 2016): 137–45. http://dx.doi.org/10.1515/fascmath-2016-0021.

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36

Hazar Güleç, G. Canan. "Compact Matrix Operators on Absolute Cesàro Spaces." Numerical Functional Analysis and Optimization 41, no. 1 (July 2, 2019): 1–15. http://dx.doi.org/10.1080/01630563.2019.1633665.

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37

Albanese, Angela A., José Bonet, and Werner J. Ricker. "The Cesàro operator in weighted ℓ1 spaces." Mathematische Nachrichten 291, no. 7 (July 31, 2017): 1015–48. http://dx.doi.org/10.1002/mana.201600509.

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38

Ma, Zhen-Hua, Li-Ning Jiang, and Qiao-Ling Xin. "Packing constant for Cesàro-Orlicz sequence spaces." Czechoslovak Mathematical Journal 66, no. 1 (March 2016): 13–25. http://dx.doi.org/10.1007/s10587-016-0234-5.

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39

Weisz, Ferenc. "The maximal Cesàro operator on Hardy spaces." Analysis 18, no. 2 (June 1998): 157–66. http://dx.doi.org/10.1524/anly.1998.18.2.157.

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40

Astashkin, Sergey V. "On the geometric properties of Cesàro spaces." Sbornik: Mathematics 203, no. 4 (April 30, 2012): 514–33. http://dx.doi.org/10.1070/sm2012v203n04abeh004232.

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41

Hu, Zhangjian. "Extended Cesàro operators on mixed norm spaces." Proceedings of the American Mathematical Society 131, no. 7 (December 30, 2002): 2171–79. http://dx.doi.org/10.1090/s0002-9939-02-06777-1.

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42

Foralewski, Paweł, Henryk Hudzik, and Alicja Szymaszkiewicz. "Some remarks on Cesàro-Orlicz sequence spaces." Mathematical Inequalities & Applications, no. 2 (2010): 363–86. http://dx.doi.org/10.7153/mia-13-29.

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43

Avetisyan, Karen, and Stevo Stević. "Extended Cesàro operators between different Hardy spaces." Applied Mathematics and Computation 207, no. 2 (January 2009): 346–50. http://dx.doi.org/10.1016/j.amc.2008.10.055.

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44

Canan Hazar, G., and M. Ali Sarıgöl. "Absolute Cesàro Series Spaces and Matrix Operators." Acta Applicandae Mathematicae 154, no. 1 (November 15, 2017): 153–65. http://dx.doi.org/10.1007/s10440-017-0138-x.

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45

Kubiak, Damian. "A note on Cesàro–Orlicz sequence spaces." Journal of Mathematical Analysis and Applications 349, no. 1 (January 2009): 291–96. http://dx.doi.org/10.1016/j.jmaa.2008.08.022.

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46

Salvador, Pedro Ortega, and Consuelo Ramírez Torreblanca. "Weighted inequalities for Cesàro maximal operators in Orlicz spaces." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 135, no. 6 (December 2005): 1287–308. http://dx.doi.org/10.1017/s0308210500004388.

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Let 0 < α ≤ 1 and let M+α be the Cesàro maximal operator of order α defined by In this work we characterize the pairs of measurable, positive and locally integrable functions (u, v) for which there exists a constant C > 0 such that the inequality holds for all λ > 0 and every f in the Orlicz space LΦ(v). We also characterize the measurable, positive and locally integrable functions w such that the integral inequality holds for every f ∈ LΦ(w). The discrete versions of this results allow us, by techniques of transference, to prove weighted inequalities for the Cesàro maximal ergodic operator associated with an invertible measurable transformation, T, which preserves the measure.Finally, we give sufficient conditions on w for the convergence of the sequence of Cesàro-α ergodic averages for all functions in the weighted Orlicz space LΦ(w).
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47

Sanhan, Winate, and Suthep Suantai. "Onk-nearly uniform convex property in generalized Cesàro sequence spaces." International Journal of Mathematics and Mathematical Sciences 2003, no. 57 (2003): 3599–607. http://dx.doi.org/10.1155/s0161171203301267.

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We define a generalized Cesàro sequence spaceces(p), wherep=(pk)is a bounded sequence of positive real numbers, and consider it equipped with the Luxemburg norm. The main purpose of this paper is to show thatces(p)isk-nearly uniform convex (k-NUC) fork≥2whenlimn→∞infpn>1. Moreover, we also obtain that the Cesàro sequence spacecesp(where 1<p<∞)isk-NUC,kR, NUC, and has a drop property.
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48

Maligranda, Lech, Narin Petrot, and Suthep Suantai. "On the James constant and B-convexity of Cesàro and Cesàro–Orlicz sequence spaces." Journal of Mathematical Analysis and Applications 326, no. 1 (February 2007): 312–31. http://dx.doi.org/10.1016/j.jmaa.2006.02.085.

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49

Mahto, Sanjay Kumar, Atanu Manna, and P. D. Srivastava. "Bigeometric Cesàro difference sequence spaces and Hermite interpolation." Asian-European Journal of Mathematics 13, no. 04 (April 4, 2019): 2050084. http://dx.doi.org/10.1142/s1793557120500849.

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In this paper, we introduce some difference sequence spaces in bigeometric calculus. We determine the [Formula: see text]-duals of these sequence spaces and study their matrix transformations. We also develop an interpolating polynomial in bigeometric calculus which is analogous to the classical Hermite interpolating polynomial.
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50

Kadak, Uğur. "Cesàro Summable Sequence Spaces over the Non-Newtonian Complex Field." Journal of Probability and Statistics 2016 (2016): 1–10. http://dx.doi.org/10.1155/2016/5862107.

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The spacesω0p,ωp, andω∞pcan be considered the sets of all sequences that are strongly summable to zero, strongly summable, and bounded, by the Cesàro method of order1with indexp. Here we define the sets of sequences which are related to strong Cesàro summability over the non-Newtonian complex field by using two generator functions. Also we determine theβ-duals of the new spaces and characterize matrix transformations on them into the sets of⁎-bounded,⁎-convergent, and⁎-null sequences of non-Newtonian complex numbers.
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