In this notes unbounded regular operators on Hilbert $C^*$-modules over arbitrary $C^*$-algebras are discussed. A densely defined operator $t$ possesses an adjoint if the graph of is orthogonal summand. Moreover, for a orthogonally complemented and range $P_FP_{G(t)^\bot}$ dense in its biorthogonal complement only regular. For given $C^*$-algebra $\mathcal A$ any A$-linear closed between regular, admits operator, compact operators. Some further characterizations modular obtained. Changes 1:...

Abstract Objective —To assess the acetaminophen absorption test (APAT) for use in determining function of reticular groove reflex lambs. Animals —12 Baluchi Procedures —2 consecutive APATs were performed at each 3 developmental stages (stage 1, before weaning; stage 2, and 3, after weaning). Lambs suckled a solution consisting barium sulfate 1 week later tube fed same solution. Abdominal radiographs obtained immediately administration Plasma concentrations determined 30, 60, 90, 120, 150,...

In this note we show that an unbounded regular operator $t$ on Hilbert $C^*$-modules over arbitrary $C^*$ algebra $ \mathcal{A}$ has polar decomposition if and only the closures of ranges $|t|$ are orthogonally complemented, operators $t^*$ have generalized inverses. For a given $C^*$-algebra any densely defined $\mathcal A$-linear closed between decomposition, inverse, A$ is compact operators.

Let $t$ be a regular operator between Hilbert $C^*$-modules and $t^\dag$ its Moore-Penrose inverse. We investigate the invertibility of Gram $t^*t$. More precisely, we study some conditions ensuring that $t^{\dag} = (t^* t)^{\dag} t^*= t^* (t t^*)^{\dag}$ $(t^*t)^{\dag}=t^{\dag}t^{* \dag}$ hold. As an application, get results for densely defined closed operators on over $C^*$-algebras compact operators.

Foot-and-mouth disease (FMD) is endemic in Iran. It essential to timely evaluate the current control programme Here, we report frequency of FMD virus (FMDV) carrier state cattle slaughtered Mashhad abattoir, Mashhad, Khorasan Razavi, north-east Iran, which contains long common borders with Afghanistan and Turkmenistan. Soft palate samples were collected immediately after slaughter for detection FMDV by RT-PCR. The results show that 37.7% (96 255) carriers virus. Among positive (96), 58...

We study and compare the gap Riesz topologies of space all unbounded regular operators on Hilbert C*-modules. show that bounded adjointable C*-modules is an open dense subset with respect to topology. The restriction topology equivalent which generated by usual operator norm. selfadjoint Fredholm over C*-algebra compact path-connected topology, however, result may not be true for some

Subacute rumen acidosis (SARA) is frequently encountered in ruminants on high-concentrate rations and characterized by mild to moderate pH depression. Although the measurement of considered as a gold standard approach diagnose SARA, fluid collection conceived cumbersome invasive procedure. In present study, suitability transabdominal ultrasonography identify structural changes mucosa associated with SARA was explored. Five adult canulated bulls previously adjusted roughage-based ration were...

Abstract Objective —To assess the suitability of modified acetaminophen absorption test for evaluation abomasal emptying rate in ruminating cattle. Animals —7 Holstein-Friesian heifers. Procedures —In a crossover study design, heifers consecutively underwent an IV infusion 1 L saline (0.9% NaCl) solution (control treatment), containing metoclopramide (0.1 mg/kg), and atropine with interval 15 days between treatments. Immediately after each treatment, diluted ethanol (50 mg/kg) was infused...

We study closedness of the range, adjointability and generalized invertibility modular operators between Hilbert modules over locally C*-algebras coefficients. Our investigations recent results M. Frank [Characterizing compact by generic categorical properties C*-modules, {\it J. K-Theory} {\bf 2} (2008), 453-462] reveal a number equivalence category which characterize precisely inverse limit C*-algebra operators.

Determining accurate body phosphorus status and requirements is important in ruminants because of environmental concerns surface water pollution by overzealous consumption developed countries, extensive regions deficiency developing ones. Current indicators, such as concentrations bone, plasma, fecal, rumen inorganic (Pi), fall short this goal. In addition, plasma Pi (PPi) may be falsely increased hemolysis during storage blood samples.The goals study were to: 1) compare whole (WBPi), red...

We study first EP modular operators on Hilbert C*-modules and then we provide necessary sufficient conditions for the product of two to be EP. These enable us extend some results Koliha [{\it Studia Math.} {\bf 139} (2000), 81--90.] an arbitrary C*-algebra C*-algebras compact operators.

Normality of bounded and unbounded adjointable operators are discussed. Suppose $T$ is an operator between Hilbert C*-modules which has polar decomposition, then normal if only there exists a unitary $ \mathcal{U}$ commutes with $T^*$ such that $T=\mathcal{U} \, T^*.$ Kaplansky's theorem for normality the product also reformulated in framework C*-modules.