By Vesely L.
Given a Banach spaceX, letc 0(X) be the distance of all null sequences inX (equipped with the supremum norm). We express that: 1) each one compact set inc 0(X) admits a (Chebyshev) middle iff each one compact set inX admits a middle; 2) forX fulfilling a definite situation (Q), every one bounded set inc 0(X) admits a middle iffX is quasi uniformly rotund. We build a Banach spaceX such that the compact subsets ofX admit centers,X satisfies the (Q) andX isn't quasi uniformly rotund. It follows that the Banach spaceE=c 0(X) has the valuables from the name.
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Additional resources for A Banach space in which all compact sets, but not all bounded sets, admit Chebyshev centers
1. mtDNA Isolation from Liver Tissue 1. Excise fresh liver and place it in cold phosphate-buffered saline on ice (see Notes 1 and 2). 2. Remove any blood and contaminating tissue and weigh (see Note 3). 3. Transfer to an ice-cold beaker containing 5 volumes of 1:10 diluted HB/g. 4. Mince the tissues finely with sharp scissors, changing the solution four or five times (see Note 4). 5. Wash diced tissue with 5 volumes of HB/g wet weight and discard as much solution as possible. 24 Reyes et al. 6.
31. 32. 33. 34. 35. 35 of vertebrate mitochondrial DNA entails transient ribonucleotide incorporation throughout the lagging strand. EMBO J, 25, 5358–71. M. N. (1996) Two-dimensional gel analysis of rolling circle replication in the presence and absence of bacteriophage T4 primase. Nucleic Acids Res, 24, 2166–75. T. J. (2005) A bidirectional origin of replication maps to the major noncoding region of human mitochondrial DNA. Mol Cell, 18, 651–62. , Watson, R. and Vinograd, J. (1973) The presence of ribonucleotides in mature closed-circular mitochondrial DNA.
59. , a single well from a 6-well plate, 40–50% confluent). 60. Samples can be stored at this stage in the freezer for a long period of time. Indeed, unless they are to be used immediately, it is better to preserve DNA samples in this way. 34 Reyes et al. 61. Over-drying the samples makes it very difficult to get it back into solution due to the significant amount of protein. 62. The DNA must be completely in solution. It takes about 20 min to 1 h depending on the amount of DNA. Excessive pipetting trying to dissolve pellet should be avoided since it causes shearing of the DNA.