I want to know what registered trademark has the words of-a-band
(followed by the registered trademark symbol).  I cannot read the word
or words that might exist before of-a-band.  The words and registered
trademark symbol are on the back of what appears to be a small metal
zipper case that might be a type of encasement for a zipper, allowing
one to more easily grasp or pull the zipper.  On the other side of
this small zipper case is what may be a logo: a dot surrounded by a
circle resembling a target or bull's eye.  Indeed it could be the logo
for Target, the retail store. Thank you.

Could it be either "promoband" or "my broadband" instead of "of-a-band"?

Or perhaps any of these?  These are all the records at the U.S.
Trademark Office for registered marks that have "x-a-band" (where "x"
is a variable term) in them.
1 76351903  ADJUST-A-BAND 
2 76322038 2573683 EXPAND-A-BAND 
3 76313112 2604579 EXPAND-A-BAND BREAST BINDER 
4 76045653  THERA-BAND  
5 76043561 2467659 THERA-BAND 
6 75899995 2559799 CRAZY THERMA-BAND  
7 75710840 2391279 EXPAND-A-BAND  
8 75703713 2500775 DURA-BAND 
9 75683818 2340920 SAX-A-BAND  
10 75624725  CONTRA-BAND  
11 75556542 2295811 THERA-BAND  
12 75525332  THERMA-BAND  
13 75437012 2534415 RESIST-A-BAND  
14 75413050 2365006 WEIGHT-A-BAND  
15 75351666  DEMA-BAND  
16 75281038 2204507 LULL -A- BAND 
17 75058883 2068982 DURA-BAND 
18 74690273 1975010 POLA-BAND  
19 74589752  DYNA-BAND  
20 74520840 1936562 SEA-BAND HEAD-BAND 
21 74509383 1882097 ULTRABAND  
22 74493865 1895004 THERA-BAND  
23 74402663 1970307 STERNA-BAND 
24 74357841 1799243 THERA-BAND & BALL  
25 74233277 1773492 PURA-BAND  
26 73815133  "WIN-A-BAND"  
27 73760624 1542392 THERA-BAND  
28 73705530 1505713 DEKNA-BAND  
29 73548554 1379345 DYNA-BAND  
30 73546902 1384023 NOTA-BAND  
31 73481595 1326794 THE SEA-BAND  
32 73442326 1295690 BOLT-A-BAND  
33 73425683 1286015 RELI-A-BAND  
34 73385321 1266184 EXACT-A-BAND  
35 73377023 1252177 ROLL-A-BAND  
36 73230269 1164545 DURA-BAND 
37 73218342 1153137 HOOK-A-BAND  
38 73214233 1149597 DISTORT-A-BAND  
39 73210576 1186386 CLIP-A-BAND 
40 73137629 1103394 CREATE-A-BAND  
41 73100524 1063239 THERA-BAND  
42 72343074 0896945 CAL-A-BAND  
43 72335016 0894432 STA-BAND  
44 72247339 0831101 STA-BAND  
45 72233036 0821635 IDENT-A-BAND 
46 72159672 0759467 STA-BAND 
47 71664877 0601854 PORTA-BAND  
48 71610380 0560855 IDENT-A-BAND  
49 71569601 0536489 VITA-BAND