scholarly journals The Spectral Identity for the Operator with Non-Nuclear Resolvent

2017 ◽  
Vol 4 (1) ◽  
pp. 69-75 ◽  
Author(s):  
E.V. Kirillov ◽  
Keyword(s):  
2018 ◽  
Vol 18 (11) ◽  
pp. 19 ◽  
Author(s):  
Brian P. Schmidt ◽  
Alexandra E. Boehm ◽  
Katharina G. Foote ◽  
Austin Roorda
Keyword(s):  

1985 ◽  
Vol 54 (2) ◽  
pp. 304-317 ◽  
Author(s):  
H. Kolb ◽  
J. Jones

Red and green cones of two turtle species (Pseudemys scripta elegans and Chelydra serpentina) retina have been stained with Golgi procedures and examined by light microscopy of whole-mount tissue and by electron microscopy of serial thin sections. By light microscopy, red and green single cones appear indistinguishable, but double cones can be readily identified. All Golgi-stained photoreceptors in turtle retina have a spray of telodendria radiating from their synaptic pedicles. The telodendria of single cones are 10-20 micron long and end in clusters of terminals, whereas double cones have 30- to 50-micron long telodendria in addition to a very short bush of telodendria arising from one side of the pedicle. Electron microscopy of the Golgi-stained cones allows them to be distinguished into red or green spectral types by the appearance of their oil droplets. Furthermore, the spectral identity of cones contacted by the telodendria of identified Golgi-stained cones can similarly be determined. Red single cones make telodendrial contacts with other red singles, both members of the double cones, and with green single cones. Green single cones likewise connect to many surrounding red cones, both single and double types, and a few other green singles. Both members of the double cone connect to neighboring red and green singles and occasionally to double cones. The telodendria of stained cones end on spectrally homologous or heterologous cone types at basal junctions, central elements of ribbon synapses or, sometimes, as lateral elements of ribbon synapses. However, all these synaptic contacts appear to be of the same type, i.e., narrow-cleft basal junctions. Small gap junctions occur between neighboring cone pedicles, regardless of spectral type, in the visual streak area of the retina. Large gap junctions occur between unidentified cone telodendria in the neuropil of the outer plexiform layer. The telodendrial connections between red and green cones in the turtle retina have the appearance of chemical synapses and suggest an anatomical pathway responsible for the mixing of red and green signals in red or green cones of the turtle retina as reported in the accompanying physiological paper by Normann, Perlman, and Daly (27).


2004 ◽  
Vol 140 (1) ◽  
pp. 221-244 ◽  
Author(s):  
Erez Lapid ◽  
Stephen Rallis

2018 ◽  
Author(s):  
Brian P. Schmidt ◽  
Alexandra E. Boehm ◽  
Katharina G. Foote ◽  
Austin Roorda

AbstractOrganisms are faced with the challenge of making inferences about the physical world from incomplete incoming sensory information. One strategy to combat ambiguity in this process is to combine new information with prior experiences. We investigated the strategy of combining these information sources in color vision. Single cones in human subjects were stimulated and the associated percepts were recorded. Subjects rated each flash for brightness, hue and saturation. Brightness ratings were proportional to stimulus intensity. Saturation was independent of intensity, but varied between cones. Hue, in contrast, was assigned in a stereotyped manner that was predicted by cone type. These experiments revealed that, near the fovea, long (L) and middle (M) wavelength sensitive cones produce sensations that can be reliably distinguished on the basis of hue, but not saturation or brightness. Taken together, these observations implicate the high-resolution, color-opponent parvocellular pathway in this low-level visual task.


Cell Reports ◽  
2017 ◽  
Vol 21 (3) ◽  
pp. 692-706 ◽  
Author(s):  
Onkar B. Sawant ◽  
Amanda M. Horton ◽  
Olivia F. Zucaro ◽  
Ricky Chan ◽  
Vera L. Bonilha ◽  
...  

2015 ◽  
Vol 59 (2) ◽  
pp. 363-375 ◽  
Author(s):  
C. S. Kubrusly ◽  
B. P. Duggal

AbstractLet A and B be operators acting on infinite-dimensional complex Banach spaces. We say that the Weyl spectral identity holds for the tensor product A⊗B if σw(A⊗B) = σw(A)·σ(B)∪σ(A)·σw(B), where σ(·) and σw(·) stand for the spectrum and the Weyl spectrum, respectively. Conditions on A and B for which the Weyl spectral identity holds are investigated. Especially, it is shown that if A and B are biquasitriangular (in particular, if the spectra of A and B have empty interior), then the Weyl spectral identity holds. It is also proved that if A and B are biquasitriangular, then the tensor product A ⊗ B is biquasitriangular.


1979 ◽  
Vol 83 ◽  
pp. 479-482
Author(s):  
Bruce Bohannan

As John Hutchings summarized at the opening of this symposium the most easily detected symptom of mass loss in hot stars is emission at Hα. Some years ago I made a survey of the Large Magellanic Cloud for stars with Hα in emission (Bohannan and Epps 1974) and since then have obtained low resolution spectra of some of these stars to establish their spectral identity. I would like to talk today of one of these objects, BE 381, which displays spectroscopic features of both the extreme Of and low excitation WN Wolf-Rayet classifications.


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