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Journal articles on the topic 'Essential norm'

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Published: 4 June 2021
Last updated: 14 February 2022

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1

Medková, Dagmar. "On essential norm of the Neumann operator." Mathematica Bohemica 117, no. 4 (1992): 393–408. http://dx.doi.org/10.21136/mb.1992.126064.

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2

Leonard, I. E., and K. F. Taylor. "Essential supremum norm differentiability." International Journal of Mathematics and Mathematical Sciences 8, no. 3 (1985): 433–39. http://dx.doi.org/10.1155/s0161171285000473.

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The points of Gateaux and Fréchet differentiability inL∞(μ,X)are obtained, where(Ω,∑,μ)is a finite measure space andXis a real Banach space. An application of these results is given to the spaceB(L1(μ,ℝ),X)of all bounded linear operators fromL1(μ,ℝ)intoX.
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3

Sharma, Ajay K., Ambika Bhat, Renu Chugh, and Elina Subhadarsini. "Inequalities involving norm and essential norm of weighted composition operators." Journal of Mathematical Inequalities, no. 1 (2017): 225–40. http://dx.doi.org/10.7153/jmi-11-22.

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4

Mengestie, Tesfa. "Essential norm of the differential operator." Operators and Matrices, no. 1 (2019): 1–18. http://dx.doi.org/10.7153/oam-2019-13-01.

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5

Raj, Kuldip, and Charu Sharma. "Essential norm of weighted composition operators." Analysis 38, no. 3 (August 1, 2018): 145–54. http://dx.doi.org/10.1515/anly-2017-0027.

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Abstract In the present paper we characterize the compact, invertible, Fredholm and closed range weighted composition operators on Cesàro function spaces. We also make an effort to compute the essential norm of weighted composition operators.
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6

Tylli, Hans-Olav. "Duality of the weak essential norm." Proceedings of the American Mathematical Society 129, no. 5 (October 24, 2000): 1437–43. http://dx.doi.org/10.1090/s0002-9939-00-05937-2.

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7

Shapiro, Joel H. "The Essential Norm of a Composition Operator." Annals of Mathematics 125, no. 2 (March 1987): 375. http://dx.doi.org/10.2307/1971314.

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8

Shuan, Tang, and Wu Chong. "ESSENTIAL NORM OF THE PULL BACK OPERATOR." Korean Journal of Mathematics 24, no. 1 (March 30, 2016): 15–25. http://dx.doi.org/10.11568/kjm.2016.24.1.15.

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9

Stević, Stevo. "Norm and essential norm of composition followed by differentiation from -Bloch spaces to." Applied Mathematics and Computation 207, no. 1 (January 2009): 225–29. http://dx.doi.org/10.1016/j.amc.2008.10.032.

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10

Liu, Xiaosong, and Songxiao Li. "Norm and Essential Norm of a Weighted Composition Operator on the Bloch Space." Integral Equations and Operator Theory 87, no. 3 (February 22, 2017): 309–25. http://dx.doi.org/10.1007/s00020-017-2349-y.

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11

Haji Shaabani, M., and B. Khani Robati. "On the Norm of Certain Weighted Composition Operators on the Hardy Space." Abstract and Applied Analysis 2009 (2009): 1–13. http://dx.doi.org/10.1155/2009/720217.

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We obtain a representation for the norm of certain compact weighted composition operator on the Hardy space , whenever and . We also estimate the norm and essential norm of a class of noncompact weighted composition operators under certain conditions on and . Moreover, we characterize the norm and essential norm of such operators in a special case.
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12

Mun, Monique. "Uncertainty Is the New Norm, Adaptability Is Essential." Academic Medicine 96, no. 1 (December 29, 2020): 92. http://dx.doi.org/10.1097/acm.0000000000003652.

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13

Liu, Xiaoman, Yongmin Liu, Lina Xia, and Yanyan Yu. "The essential norm of the integral type operators." Banach Journal of Mathematical Analysis 14, no. 1 (December 1, 2019): 181–202. http://dx.doi.org/10.1007/s43037-019-00028-y.

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14

Galindo, Pablo, Jussi Laitila, and Mikael Lindström. "Essential norm estimates for composition operators on BMOA." Journal of Functional Analysis 265, no. 4 (August 2013): 629–43. http://dx.doi.org/10.1016/j.jfa.2013.05.002.

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15

Ye, Shanli. "Norm and Essential Norm of Composition Followed by Differentiation from Logarithmic Bloch Spaces toHμ∞." Abstract and Applied Analysis 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/725145.

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In this note we express the norm of composition followed by differentiationDCφfrom the logarithmic Bloch and the little logarithmic Bloch spaces to the weighted spaceHμ∞on the unit disk and give an upper and a lower bound for the essential norm of this operator from the logarithmic Bloch space toHμ∞.
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16

Fang, Quanlei, and Jingbo Xia. "Multipliers and essential norm on the Drury-Arveson space." Proceedings of the American Mathematical Society 139, no. 7 (December 16, 2010): 2497–504. http://dx.doi.org/10.1090/s0002-9939-2010-10680-9.

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17

Lindström, Mikael, and Elke Wolf. "Essential norm of the difference of weighted composition operators." Monatshefte für Mathematik 153, no. 2 (July 27, 2007): 133–43. http://dx.doi.org/10.1007/s00605-007-0493-1.

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18

ng Shi, Yech, and Songxiao Li. "Essential norm of integral operators on Morrey type spaces." Mathematical Inequalities & Applications, no. 1 (2016): 385–93. http://dx.doi.org/10.7153/mia-19-30.

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19

Stević, Stevo, and Ajay K. Sharma. "Essential norm of composition operators between weighted Hardy spaces." Applied Mathematics and Computation 217, no. 13 (March 2011): 6192–97. http://dx.doi.org/10.1016/j.amc.2010.12.103.

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20

Hu, Zhangjian, and Jin Lu. "Essential Norm of Toeplitz Operators on the Fock Spaces." Integral Equations and Operator Theory 83, no. 2 (July 4, 2015): 197–210. http://dx.doi.org/10.1007/s00020-015-2245-2.

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21

Jabbarzadeh, M. R., and Y. Estaremi. "Essential norm of substitution operators on L p spaces." Indian Journal of Pure and Applied Mathematics 43, no. 3 (June 2012): 263–78. http://dx.doi.org/10.1007/s13226-012-0014-3.

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22

Devi, Manisha, Ajay K. Sharma, and Kuldip Raj. "Inequalities Involving Essential Norm Estimates of Product-Type Operators." Journal of Mathematics 2021 (March 2, 2021): 1–9. http://dx.doi.org/10.1155/2021/8811309.

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Consider an open unit disk D = z ∈ ℂ : z < 1 in the complex plane ℂ , ξ a holomorphic function on D , and ψ a holomorphic self-map of D . For an analytic function f , the weighted composition operator is denoted and defined as follows: W ξ , ψ f z = ξ z f ψ z . We estimate the essential norm of this operator from Dirichlet-type spaces to Bers-type spaces and Bloch-type spaces.
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23

Otsuka, Masato, Makoto Yasuda, Yuji Morita, Chie Otsuka, Tomofusa Tsuchiya, Hiroshi Omote, and Yoshinori Moriyama. "Identification of Essential Amino Acid Residues of the NorM Na+/Multidrug Antiporter in Vibrio parahaemolyticus." Journal of Bacteriology 187, no. 5 (March 1, 2005): 1552–58. http://dx.doi.org/10.1128/jb.187.5.1552-1558.2005.

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ABSTRACT NorM is a member of the multidrug and toxic compound extrusion (MATE) family and functions as a Na+/multidrug antiporter in Vibrio parahaemolyticus, although the underlying mechanism of the Na+/multidrug antiport is unknown. Acidic amino acid residues Asp32, Glu251, and Asp367 in the transmembrane region of NorM are conserved in one of the clusters of the MATE family. In this study, we investigated the role(s) of acidic amino acid residues Asp32, Glu251, and Asp367 in the transmembrane region of NorM by site-directed mutagenesis. Wild-type NorM and mutant proteins with amino acid replacements D32E (D32 to E), D32N, D32K, E251D, E251Q, D367A, D367E, D367N, and D367K were expressed and localized in the inner membrane of Escherichia coli KAM32 cells, while the mutant proteins with D32A, E251A, and E251K were not. Compared to cells with wild-type NorM, cells with the mutant NorM protein exhibited reduced resistance to kanamycin, norfloxacin, and ethidium bromide, but the NorM D367E mutant was more resistant to ethidium bromide. The NorM mutant D32E, D32N, D32K, D367A, and D367K cells lost the ability to extrude ethidium ions, which was Na+ dependent, and the ability to move Na+, which was evoked by ethidium bromide. Both E251D and D367N mutants decreased Na+-dependent extrusion of ethidium ions, but ethidium bromide-evoked movement of Na+ was retained. In contrast, D367E caused increased transport of ethidium ions and Na+. These results suggest that Asp32, Glu251, and Asp367 are involved in the Na+-dependent drug transport process.
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24

HOSOKAWA, TAKUYA. "THE ESSENTIAL NORM OF A WEIGHTED COMPOSITION OPERATOR FROM THE BLOCH SPACE TO H∞." Bulletin of the Australian Mathematical Society 79, no. 3 (May 5, 2009): 487–97. http://dx.doi.org/10.1017/s0004972709000094.

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AbstractWe express the operator norm of a weighted composition operator which acts from the Bloch space ℬ to H∞ as the supremum of a quantity involving the weight function, the inducing self-map, and the hyperbolic distance. We also express the essential norm of a weighted composition operator from ℬ to H∞ as the asymptotic upper bound of the same quantity. Moreover we study the estimate of the essential norm of a weighted composition operator from H∞ to itself.
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25

Montes-Rodríguez, Alfonso. "The essential norm of a composition operator on Bloch spaces." Pacific Journal of Mathematics 188, no. 2 (March 1, 1999): 339–51. http://dx.doi.org/10.2140/pjm.1999.188.339.

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26

Lindstróm, Mikael, Shamil Makhmutov, and Jari Taskinen. "The Essential Norm of a Bloch-to-Qp Composition Operator." Canadian Mathematical Bulletin 47, no. 1 (March 1, 2004): 49–59. http://dx.doi.org/10.4153/cmb-2004-007-6.

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AbstractThe Qp spaces coincide with the Bloch space for p > 1 and are subspaces of BMOA for 0 < p ≤ 1. We obtain lower and upper estimates for the essential norm of a composition operator from the Bloch space into Qp, in particular from the Bloch space into BMOA.
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27

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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28

René E. Castillo, Julio C. Ramos-Fernández, and Margot Salas-Brown. "The Essential Norm of Multiplication Operators on Lorentz Sequence Spaces." Real Analysis Exchange 41, no. 1 (2016): 245. http://dx.doi.org/10.14321/realanalexch.41.1.0245.

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29

Kotilainen, Marko, and Jouni Rättyä. "The essential norm of a composition operator mapping intoQktype spaces." Journal of Function Spaces and Applications 6, no. 3 (2008): 241–58. http://dx.doi.org/10.1155/2008/428910.

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An asymptotic formula for the essential norm of the composition operatorCφ(f):=f∘φ, induced by an analytic self-mapφof the unit disc, mapping from theα-Bloch spaceℬαor the Dirichlet type spaceDαpintoQk(p,q)is established in terms of an integral condition.
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30

Laitila, Jussi, and Mikael Lindström. "The essential norm of a weighted composition operator on BMOA." Mathematische Zeitschrift 279, no. 1-2 (September 12, 2014): 423–34. http://dx.doi.org/10.1007/s00209-014-1375-6.

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31

Sharma, Ajay K. "Essential norm of generalized composition operators on weighted Hardy spaces." Operators and Matrices, no. 2 (2014): 399–409. http://dx.doi.org/10.7153/oam-08-20.

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32

Lin, Peng, and Richard Rochberg. "The essential norm of Hankel operator on the Bergman space." Integral Equations and Operator Theory 17, no. 3 (September 1993): 361–72. http://dx.doi.org/10.1007/bf01200291.

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33

Tylli, Hans-Olav. "The essential norm of an operator is not self-dual." Israel Journal of Mathematics 91, no. 1-3 (October 1995): 93–110. http://dx.doi.org/10.1007/bf02761641.

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34

Yang, Liu, and Ruishen Qian. "Volterra integral operator and essential norm on Dirichlet type spaces." AIMS Mathematics 6, no. 9 (2021): 10092–104. http://dx.doi.org/10.3934/math.2021586.

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35

Yang, Liu, and Ruishen Qian. "Volterra integral operator and essential norm on Dirichlet type spaces." AIMS Mathematics 6, no. 9 (2021): 10092–104. http://dx.doi.org/10.3934/math.2021856.

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36

Eklund, Ted, Pablo Galindo, Mikael Lindström, and Ilmari Nieminen. "Norm, essential norm and weak compactness of weighted composition operators between dual Banach spaces of analytic functions." Journal of Mathematical Analysis and Applications 451, no. 1 (July 2017): 1–13. http://dx.doi.org/10.1016/j.jmaa.2017.01.098.

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37

Sanatpour, Amir, and Mostafa Hassanlou. "Essential norms of weighted differentiation composition operators between Zygmund type spaces and Bloch type spaces." Filomat 31, no. 9 (2017): 2877–89. http://dx.doi.org/10.2298/fil1709877s.

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We study boundedness of weighted differentiation composition operators Dk?,u between Zygmund type spaces Z? and Bloch type spaces ?. We also give essential norm estimates of such operators in different cases of k ? N and 0 < ?,? < ?. Applying our essential norm estimates, we get necessary and sufficient conditions for the compactness of these operators.
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38

LI, YUFEI, YUFENG LU, and TAO YU. "THE ESSENTIAL NORMS OF COMPOSITION OPERATORS ON WEIGHTED DIRICHLET SPACES." Bulletin of the Australian Mathematical Society 97, no. 2 (January 31, 2018): 297–307. http://dx.doi.org/10.1017/s0004972717000983.

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Let $\unicode[STIX]{x1D711}$ be an analytic self-map of the unit disc. If $\unicode[STIX]{x1D711}$ is analytic in a neighbourhood of the closed unit disc, we give a precise formula for the essential norm of the composition operator $C_{\unicode[STIX]{x1D711}}$ on the weighted Dirichlet spaces ${\mathcal{D}}_{\unicode[STIX]{x1D6FC}}$ for $\unicode[STIX]{x1D6FC}>0$. We also show that, for a univalent analytic self-map $\unicode[STIX]{x1D711}$ of $\mathbb{D}$, if $\unicode[STIX]{x1D711}$ has an angular derivative at some point of $\unicode[STIX]{x2202}\mathbb{D}$, then the essential norm of $C_{\unicode[STIX]{x1D711}}$ on the Dirichlet space is equal to one.
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39

Allen, Robert F., Flavia Colonna, and Glenn R. Easley. "Multiplication Operators between Lipschitz-Type Spaces on a Tree." International Journal of Mathematics and Mathematical Sciences 2011 (2011): 1–36. http://dx.doi.org/10.1155/2011/472495.

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Let be the space of complex-valued functions on the set of vertices of an infinite tree rooted at such that the difference of the values of at neighboring vertices remains bounded throughout the tree, and let be the set of functions such that , where is the distance between and and is the neighbor of closest to . In this paper, we characterize the bounded and the compact multiplication operators between and and provide operator norm and essential norm estimates. Furthermore, we characterize the bounded and compact multiplication operators between and the space of bounded functions on and determine their operator norm and their essential norm. We establish that there are no isometries among the multiplication operators between these spaces.
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40

HAN, SHI-AN, and ZE-HUA ZHOU. "SPECTRA OF LINEAR FRACTIONAL COMPOSITION OPERATORS ON THE GROWTH SPACE AND BLOCH SPACE OF THE UPPER HALF-PLANE." Journal of the Australian Mathematical Society 107, no. 02 (October 29, 2018): 199–214. http://dx.doi.org/10.1017/s1446788718000289.

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In this article, we provide a complete description of the spectra of linear fractional composition operators acting on the growth space and Bloch space over the upper half-plane. In addition, we also prove that the norm, essential norm, spectral radius and essential spectral radius of a composition operator acting on the growth space are all equal.
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41

Luo, Luo, and Yang Xuemei. "The Essential Norm of the Generalized Hankel Operators on the Bergman Space of the Unit Ball inCn." Abstract and Applied Analysis 2010 (2010): 1–13. http://dx.doi.org/10.1155/2010/343578.

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In 1993, Peloso introduced a kind of operators on the Bergman spaceA2(B)of the unit ball that generalizes the classical Hankel operator. In this paper, we estimate the essential norm of the generalized Hankel operators on the Bergman spaceAp(B) (p>1)of the unit ball and give an equivalent form of the essential norm.
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42

Šite, Damir. "Common Law legal norm." Strani pravni zivot, no. 1 (2021): 15–29. http://dx.doi.org/10.5937/spz65-26843.

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In this paper the author attempts to define the otherness of common law legal norm in relation to that of a civilian one, through the analysis of differences identified in their formation and language. The first part deals with similarities and discrepancies in the process of creating a legal norm within two major legal families, examining the operational particularities of the two fundamentally different norm-creators. In this respect, the paper presents essential dissimilarities between the activities of a parliament as a legislator, opposed to an Anglo-American court as a creator of a binding precedent. The second part is dedicated to the analysis of the language of legal norm in two major European legal systems. The paper examines the language structure both in common law and civilian legal norms, as well as its limitations based on the particularities of forums in which they were created: the parliament and the court.
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43

Stević, Stevo. "Norm and Essential Norm of an Integral-Type Operator from the Dirichlet Space to the Bloch-Type Space on the Unit Ball." Abstract and Applied Analysis 2010 (2010): 1–9. http://dx.doi.org/10.1155/2010/134969.

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44

ZHOU, ZE-HUA, LIANG ZHANG, and HONG-GANG ZENG. "ESSENTIAL COMMUTATIVITY OF SOME INTEGRAL AND COMPOSITION OPERATORS." Bulletin of the Australian Mathematical Society 85, no. 1 (October 20, 2011): 143–53. http://dx.doi.org/10.1017/s0004972711002723.

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AbstractIn general, multiplication of operators is not essentially commutative in an algebra generated by integral-type operators and composition operators. In this paper, we characterize the essential commutativity of the integral operators and composition operators from a mixed-norm space to a Bloch-type space, and give a complete description of the universal set of integral operators. Corresponding results for boundedness and compactness are also obtained.
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45

VIDICAN, Roxana-Denisa. "THE IMPORTANCE OF ANALYZING THE STRUCTURE OF THE LEGAL NORM IN ORDER TO INTERPRET AND TO APPLY CORRECTLY THE LAW." Agora International Journal of Juridical Sciences 12, no. 2 (December 23, 2018): 102–6. http://dx.doi.org/10.15837/aijjs.v12i2.3472.

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In everyday life, people enter a multitude of social relationships with their peers. A social relationship turns into a legal relationship only if there is a legal norm that governs it. The law can not be conceived in the absence of the legal norm, so we can say that the legal norm is an essential element of the law.
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46

Asif, Muhammad, and Alexander Meskhi. "On the Essential Norm for the Hilbert Transforms in 𝐿𝑝(𝑥) Spaces." gmj 15, no. 2 (June 2008): 209–23. http://dx.doi.org/10.1515/gmj.2008.209.

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47

Isralowitz, Joshua. "Compactness and essential norm properties of operators on generalized Fock spaces." Journal of Operator Theory 73, no. 2 (May 2015): 281–314. http://dx.doi.org/10.7900/jot.2013oct24.2020.

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48

Malavé-Ramìrez, Marìa T., and Julio C. Ramos-Fernández. "The associated weight and the essential norm of weighted composition operators." Banach Journal of Mathematical Analysis 9, no. 1 (2015): 144–58. http://dx.doi.org/10.15352/bjma/09-1-12.

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49

Jiménez-Vargas, A., Miguel Lacruz, and Moisés Villegas-Vallecillos. "Essential Norm of Composition Operators on Banach Spaces of Hölder Functions." Abstract and Applied Analysis 2011 (2011): 1–13. http://dx.doi.org/10.1155/2011/590853.

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Let(X,d)be a pointed compact metric space, let0<α<1, and letφ:X→Xbe a base point preserving Lipschitz map. We prove that the essential norm of the composition operatorCφinduced by the symbolφon the spaceslip0(X,dα)andLip0(X,dα)is given by the formula‖Cφ‖e=limt→0 sup⁡0<d(x, y)<t(d(φ(x),φ(y))α/d(x,y)α)whenever the dual spacelip0(X,dα)∗has the approximation property. This happens in particular whenXis an infinite compact subset of a finite-dimensional normed linear space.
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50

Ramos-Fernández, Julio C., and Margot Salas-Brown. "The essential norm of multiplication operators acting on Orlicz sequence spaces." Proyecciones (Antofagasta) 39, no. 6 (December 1, 2020): 1407–14. http://dx.doi.org/10.22199/issn.0717-6279-2020-06-0086.

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We calculate the measure of non-compactness or the essential norm of the multiplication operator Mu acting on Orlicz sequence spaces lφ. As a consequence of our result, we obtain a known criteria for the compactness of multiplication operator acting on lφ.
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