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Journal articles on the topic 'Small spaces'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Pfeffer, Washek F., and Karel Prikry. "Small Spaces." Proceedings of the London Mathematical Society s3-58, no. 3 (1989): 417–38. http://dx.doi.org/10.1112/plms/s3-58.3.417.

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2

Najafov, Alik. "ON SOME DIFFERENTIAL PROPERTIES OF SMALL SMALL SOBOLEV-MORREY SPACES." Eurasian Mathematical Journal 12, no. 1 (2021): 57–67. http://dx.doi.org/10.32523/2077-9879-2021-12-1-57-67.

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3

Comfort, W. W. "Small Spaces which "Generate" Large Spaces." Proceedings of the American Mathematical Society 104, no. 3 (1988): 973. http://dx.doi.org/10.2307/2046824.

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4

Comfort, W. W. "Small spaces which ‘‘generate” large spaces." Proceedings of the American Mathematical Society 104, no. 3 (1988): 973. http://dx.doi.org/10.1090/s0002-9939-1988-0964881-x.

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5

Buskes, G., and A. van Rooij. "Small Riesz spaces." Mathematical Proceedings of the Cambridge Philosophical Society 105, no. 3 (1989): 523–36. http://dx.doi.org/10.1017/s0305004100077902.

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Many facts in the theory of general Riesz spaces are easily verified by thinking in terms of spaces of functions. A proof via this insight is said to use representation theory. In recent years a growing number of authors has successfully been trying to bypass representation theorems, judging them to be extraneous. (See, for instance, [9,10].) In spite of the positive aspects of these efforts the following can be said. Firstly, avoiding representation theory does not always make the facts transparent. Reading the more cumbersome constructions and procedures inside the Riesz space itself one feels the need for a pictorial representation with functions, and one suspects the author himself of secret heretical thoughts. Secondly, the direct method leads to repeating constructions of the same nature over and over again.

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6

Virk, Žiga. "Small loop spaces." Topology and its Applications 157, no. 2 (2010): 451–55. http://dx.doi.org/10.1016/j.topol.2009.10.003.

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7

Catt, Richard. "Small urban spaces." Structural Survey 13, no. 2 (1995): 21–25. http://dx.doi.org/10.1108/02630809510094535.

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8

Catt, Richard. "Small urban spaces." Structural Survey 14, no. 1 (1996): 21–30. http://dx.doi.org/10.1108/eum0000000000011.

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9

Clarke, Jenni. "Small spaces outside." Early Years Educator 13, no. 1 (2011): 34–36. http://dx.doi.org/10.12968/eyed.2011.13.1.34.

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10

Brian, Will, and Alan Dow. "Small cardinals and small Efimov spaces." Annals of Pure and Applied Logic 173, no. 1 (2022): 103043. http://dx.doi.org/10.1016/j.apal.2021.103043.

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11

Nijim, Basheer K. "Large Spaces/Small Spaces: Strategies of Control." Professional Geographer 40, no. 3 (1988): 341–42. http://dx.doi.org/10.1111/j.0033-0124.1988.00341.x.

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12

Anick, David, and Brayton Gray. "Small H spaces related to Moore spaces." Topology 34, no. 4 (1995): 859–81. http://dx.doi.org/10.1016/0040-9383(95)00001-1.

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13

Gowers, W. T., and B. Maurey. "Banach spaces with small spaces of operators." Mathematische Annalen 307, no. 4 (1997): 543–68. http://dx.doi.org/10.1007/s002080050050.

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14

Murray, Royce W. "Sampling of Small Spaces." Analytical Chemistry 69, no. 11 (1997): 327A. http://dx.doi.org/10.1021/ac971635s.

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15

Kubiś, Wiesław, and Henryk Michalewski. "Small Valdivia compact spaces." Topology and its Applications 153, no. 14 (2006): 2560–73. http://dx.doi.org/10.1016/j.topol.2005.09.010.

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16

Catt, Richard. "Surveying small urban spaces." Structural Survey 14, no. 4 (1996): 10–20. http://dx.doi.org/10.1108/02630809610148615.

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17

Kitagawa, Susumu. "Chemistry of Small Spaces." Chemistry International 40, no. 4 (2018): 4–9. http://dx.doi.org/10.1515/ci-2018-0402.

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Abstract The fundamental science of materials and life, which has greatly contributed to humanity, lies in atoms and molecules. For two centuries, chemistry focused on synthesizing molecules or “skeletons assembled from atoms.” This approach led to the development of various substances (pharmaceuticals, foods, dyes, pesticides, clothes, plastics, etc.). In the late 20th century, this concept evolved into supramolecular chemistry, where molecules were used as constituents and eventually led to the nanoscience field.

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18

Capone, Claudia, and Alberto Fiorenza. "On small Lebesgue spaces." Journal of Function Spaces and Applications 3, no. 1 (2005): 73–89. http://dx.doi.org/10.1155/2005/192538.

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We consider a generalized version of the small Lebesgue spaces, introduced in [5] as the associate spaces of the grand Lebesgue spaces. We find a simplified expression for the norm, prove relevant properties, compute the fundamental function and discuss the comparison with the Orlicz spaces.

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19

Navara, Mirko. "Small Quantum Structures with Small State Spaces." International Journal of Theoretical Physics 47, no. 1 (2007): 36–43. http://dx.doi.org/10.1007/s10773-007-9415-1.

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20

OMI, Takashi, and Keiji KITAHARA. "FORM AND FORMATIVE FACTOR OF SMALL-URBAN-SPACES." Journal of Architecture, Planning and Environmental Engineering (Transactions of AIJ) 424 (1991): 79–87. http://dx.doi.org/10.3130/aijax.424.0_79.

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21

Dodos, Pandelis. "On classes of Banach spaces admitting ‘‘small” universal spaces." Transactions of the American Mathematical Society 361, no. 12 (2009): 6407–28. http://dx.doi.org/10.1090/s0002-9947-09-04913-7.

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22

Domínguez, Oscar. "Tractable embeddings of Besov spaces into small Lebesgue spaces." Mathematische Nachrichten 289, no. 14-15 (2016): 1739–59. http://dx.doi.org/10.1002/mana.201500244.

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23

EGAWA, TOMOKI, and HIDEAKI OSHIMA. "Maps between small Hopf spaces." Mathematical journal of Ibaraki University 32 (2000): 33–61. http://dx.doi.org/10.5036/mjiu.32.33.

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24

Murray, Royce. "Analytical Chemistry in Small Spaces." Analytical Chemistry 63, no. 15 (1991): 763a. http://dx.doi.org/10.1021/ac00015a600.

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25

Ajami, Dariush, and Julius Rebek. "More Chemistry in Small Spaces." Accounts of Chemical Research 46, no. 4 (2012): 990–99. http://dx.doi.org/10.1021/ar300038r.

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26

Thio, Tineke. "Coaxing light into small spaces." Nature Nanotechnology 2, no. 3 (2007): 136–38. http://dx.doi.org/10.1038/nnano.2007.53.

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27

Rebek, Julius. "Molecular Behavior in Small Spaces." Accounts of Chemical Research 42, no. 10 (2009): 1660–68. http://dx.doi.org/10.1021/ar9001203.

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28

Gruenhage, Gary. "Spaces having a small diagonal." Topology and its Applications 122, no. 1-2 (2002): 183–200. http://dx.doi.org/10.1016/s0166-8641(01)00140-7.

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29

Bekolle, David. "Bergman spaces with small exponents." Indiana University Mathematics Journal 49, no. 3 (2000): 0. http://dx.doi.org/10.1512/iumj.2000.49.1687.

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30

Jacques, Wesley. "Small Spaces by Katherine Arden." Bulletin of the Center for Children's Books 72, no. 1 (2018): 6. http://dx.doi.org/10.1353/bcc.2018.0545.

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31

Murphy, N. "Graphical interfaces for small spaces." Information Professional 1, no. 1 (2004): 32–35. http://dx.doi.org/10.1049/inp:20040106.

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32

VEOMETT, E., and K. WILDRICK. "SPACES OF SMALL METRIC COTYPE." Journal of Topology and Analysis 02, no. 04 (2010): 581–97. http://dx.doi.org/10.1142/s1793525310000422.

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Mendel and Naor's definition of metric cotype extends the notion of the Rademacher cotype of a Banach space to all metric spaces. Every Banach space has metric cotype at least 2. We show that any metric space that is bi-Lipschitz is equivalent to an ultrametric space having infimal metric cotype 1. We discuss the invariance of metric cotype inequalities under snowflaking mappings and Gromov–Hausdorff limits, and use these facts to establish a partial converse of the main result.

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33

Storme, Leo. "Small arcs in projective spaces." Journal of Geometry 58, no. 1-2 (1997): 179–91. http://dx.doi.org/10.1007/bf01222939.

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34

Choe, Boo Rim, Hyungwoon Koo, and Wayne Smith. "Composition Operators on Small Spaces." Integral Equations and Operator Theory 56, no. 3 (2006): 357–80. http://dx.doi.org/10.1007/s00020-006-1420-x.

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35

Ding, Guanggui. "Small into isomorphisms onL ∞ spaces." Acta Mathematica Sinica 11, no. 4 (1995): 417–21. http://dx.doi.org/10.1007/bf02248752.

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36

A’campo-Neuen, Annette, and Jürgen Hausen. "Orbit spaces of Small Tori." Results in Mathematics 43, no. 1-2 (2003): 13–22. http://dx.doi.org/10.1007/bf03322717.

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37

Anatriello, Giuseppina, Maria Rosaria Formica, and Raffaella Giova. "Fully measurable small Lebesgue spaces." Journal of Mathematical Analysis and Applications 447, no. 1 (2017): 550–63. http://dx.doi.org/10.1016/j.jmaa.2016.10.034.

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38

Bennett, Grahame. "Sequence spaces with small ?-duals." Mathematische Zeitschrift 194, no. 3 (1987): 321–29. http://dx.doi.org/10.1007/bf01162240.

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39

Pustylnik, Evgeniy. "Sobolev type inequalities in ultrasymmetric spaces with applications to Orlicz-Sobolev embeddings." Journal of Function Spaces and Applications 3, no. 2 (2005): 183–208. http://dx.doi.org/10.1155/2005/254184.

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LetDkfmean the vector composed by all partial derivatives of orderkof a functionf(x),x∈Ω⊂ℝn. Given a Banach function spaceA, we look for a possibly small spaceBsuch that‖f‖B≤c‖|Dkf|‖Afor allf∈C0k(Ω). The estimates obtained are applied to ultrasymmetric spacesA=Lφ,E,B=Lψ,E, giving some optimal (or rather sharp) relations between parameter-functionsφ(t)andψ(t)and new results for embeddings of Orlicz-Sobolev spaces.

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40

Shelah, Saharon, and Stevo Todorcevic. "A Note on Small Baire Spaces." Canadian Journal of Mathematics 38, no. 3 (1986): 659–65. http://dx.doi.org/10.4153/cjm-1986-033-8.

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A Baire space is a topological space which satisfies the Baire Category Theorem, i.e., in which the intersection of countably many dense open sets is dense. In this note we shall be interested in the size of Baire spaces, so to avoid trivialities we shall consider only non-atomic spaces, that is, spaces X whose regular open algebras ro(X) are non-atomic. All natural examples of Baire spaces, such as complete metric spaces or compact spaces, seem to have sizes at least 2ℵ0. So a natural question, asked first by W. Fleissner and K. Kunen [5], is whether there exists a Baire space of the minimal possible size ℵ1. The purpose of this note is to show that such a space need not exist by proving the following result.

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41

González, Manuel, and José M. Herrera. "Decompositions for real Banach spaces with small spaces of operators." Studia Mathematica 183, no. 1 (2007): 1–14. http://dx.doi.org/10.4064/sm183-1-1.

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42

Raudensky, Jeanne. "Big Drives, Small Fairway: Teaching Golf in Small Spaces." Strategies 13, no. 2 (1999): 17–21. http://dx.doi.org/10.1080/08924562.1999.10591426.

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43

Alford, Arezoo, and Simon Brinkworth. "Maximising image quality in small spaces." Journal of Visual Communication in Medicine 38, no. 1-2 (2015): 4–12. http://dx.doi.org/10.3109/17453054.2015.1035635.

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44

Mycielski, Jan, and Grzegorz Tomkowicz. "On Small Subsets in Euclidean Spaces." Bulletin Polish Acad. Sci. Math. 64, no. 2,3 (2016): 109–18. http://dx.doi.org/10.4064/ba8085-10-2016.

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45

Jarosz, Krzysztof. "Small isomorphisms ofC(X,E) spaces." Pacific Journal of Mathematics 138, no. 2 (1989): 295–315. http://dx.doi.org/10.2140/pjm.1989.138.295.

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46

Rödl, Vojtěch. "Small Spaces with Large Point Character." European Journal of Combinatorics 8, no. 1 (1987): 55–58. http://dx.doi.org/10.1016/s0195-6698(87)80020-3.

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47

McVicar, Mhairi. "1:1 – Architects Build Small Spaces." Architectural Research Quarterly 14, no. 3 (2010): 195–200. http://dx.doi.org/10.1017/s1359135510000965.

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Squeezed into the narrow confines of a parasitic Mumbai dwelling; gathered around a ceramic tea-set in an elevated tea-house; trapped in the transparent void of a tree; and nestled in a vertical tower of fur, books and timber the 1:1 – Architects Build Small Spaces exhibition offered a tactile and intimate encounter with the intense experiences and emotions evoked by a series of small architectural spaces. Installed throughout the Victoria and Albert Museum, the exhibition ran from 15 June – 30 August 2010.

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48

Lehman, Niles. "Evolution Finds Shelter in Small Spaces." Chemistry & Biology 19, no. 4 (2012): 439–40. http://dx.doi.org/10.1016/j.chembiol.2012.04.002.

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49

Perrin, N. "Small codimension subvarieties in homogeneous spaces." Indagationes Mathematicae 20, no. 4 (2009): 557–81. http://dx.doi.org/10.1016/s0019-3577(09)80026-8.

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50

Catt, Richard. "Small urban spaces: part 6 ‐ pavings." Structural Survey 14, no. 3 (1996): 27–39. http://dx.doi.org/10.1108/02630809610180178.

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