An operator T ∈ B(H) is said to be (p, k)-quasiposinormal operator, if T * k (c 2 (T * T ) p − (T T * ) p )T k ≥ 0 for a positive integer 0 < p ≤ 1, some c > 0 and a positive integer k. In this paper, we prove that, the (p, k) quasi-posinormal operator is a pole of resolvent of T * . Then we prove that if {T n } is a sequence of operators in the class (p, k) − Q and (p, k) − QP which converges in the operator norm topology to an operator T in the same class, then the functions spectrum, Weyl spectrum, Browder spectrum and essential surjectivity spectrum are continuous at T .
Safety of a person is primary concern in any industry especially in underground coal mining industry. Underground communication is necessary to monitor underground environmental and health parameter and take necessary actions accordingly to avoid any types of hazard. The application designs a warning system for coalmine safety based on IOT. The underground system determines environment and health condition of workers. This system observes the environmental parameters such as gas and vibrations and the health parameters such as heart rate, temperature. The collected information is send to the processor to save them and for remote users to inquire.
Home automation using Internet of Things is full of automation and the human being’s life is getting easier as almost everything is systematic by replacing the conventional/manual systems. Recent days, the internet is the mixed part of every human life to gather the knowledge of technology. Internet of things provides a source the devices to connect, sensed by sensors and controlled by remote across a grid infrastructure. Various kind of sensors are designed to meet the need of Home automation such as flame sensor, gas sensor, touch sensor, soil moisture sensor, Infrared sensor where it is connected with Arduino board and it automatically controls the environment. Infrared Sensor is used to find the movement of objects and is used in home automation for example we can use infrared sensor in car shed to monitor the car activities. Based on the car motion we can use infrared sensor. Infrared sensor is used to sense the car movement based on the movement light is automatically changed into on condition and if there is no movement the light turns into off condition. The Arduino board have microcontroller to control all the process occurred in home and it can be sensed by the various sensor and it can be alert to the owner by mail or any other process. The results are obtained with the help of Arduino Software and Arduino UNO for all the sensors.
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