Sentence examples for operator class from inspiring English sources

This operation is supported by the GIST index operator class for cube values and therefore avoids linear scans of all USRCAT moments.

Obviously, the nonexpansive mapping class is a proper subclass of the strict pseudo-contraction class and the Lipschitzian operator class is a proper subclass of the boundedly Lipschitzian operator class, respectively.

Recently, Han and Na introduced a new operator class which contains the classes of paranormal operators and quasi-class A operators [4].

This result does coincide with the fact that landing/take-off fee is determined by some other factors (e.g., the weight of aircraft, number of seats, time of day, aircraft home airport, and operator class) and not by the remaining 11 attributes specified in this paper.

An operator T ∈ B ( H ) is said to be paranormal if T x 2 ≤ T 2 x x for all x ∈ H. Recently, we introduced a new operator class which is a common generalization of paranormal operators and quasi-class A operators [4].

The game brings a new Operator class system to ensure each player has something to do, and should offer 20 classes to make sure each game is a bit different.

Our operator classes are intrinsically related to the ultradistributional framework so that the bounds on the derivatives of the symbols are controlled by Gevrey type weight sequences.

We give the basic definitions for multivalued operators and then we quote the main surjectivity result for the operator classes under consideration (see e.g. [ 24, 39, 47]).

Recently Jeon and Kim [3] have considered the following new class of operators: we say that an operator T ∈ B ( H ) belongs to the ∗-class A if | T 2 | ≥ | T ∗ | 2. For brevity, we shall denote the classes of hyponormal operators, paranormal operators, ∗-paranormal operators, class A operators, and ∗-class A operators by ℋ, PN, P N ∗, A and A ∗ respectively.

This result was extended to p-quasihyponormal operators, class A operators, ∗-class A operators, log-hyponormal operators and class A ( s, t ) operators ( ( | T ∗ | t | T | 2 s | T ∗ | t ) t s + t ≥ | T ∗ | 2 t, s, t > 0 ) in [20 23], respectively.

The fine structure of the spectrum of paranormal operators for class A operators or ∗-paranormal operators has been studied by several authors, in particular, for these classes of operators, it has been proved that they satisfy Weyl's theorem; see for instance [7, 8] for paranormal operators, [9] for algebraically class A operators, in [5] for quasi-∗-class A operators.