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Classes of Idempotents in Hilbert Space
(Springer, 2016-08)
An idempotent operator E in a Hilbert space H(E2= 1) is written as a 2 × 2 matrix in terms of the orthogonal decomposition H=R(E)⊕R(E)⊥(R(E) is the range of E) as (Formula Presented). We study the sets of idempotents that ...
A note on the differentiable structure of generalized idempotents
(Versita, 2013-02)
For a fixed n > 2, we study the set of generalized idempotents, which are operators satisfying Tn+1 = T. Also the subsets † , of operators such that Tn−1 is the Moore–Penrose pseudo-inverse of T, and , of operators such ...
Strongly smooth paths of idempotents
(Elsevier, 2011)
Semiclosed projections and applications
(Academic Press Inc Elsevier Science, 2021-12-01)
We characterize the semiclosed projections and apply them to compute the Schur complement of a selfadjoint operator with respect to a closed subspace. These projections occur naturally when dealing with weak complementability.
An evolution algebra in population genetics
(Elsevier Inc., 2014)
We consider an evolution algebra which corresponds to a bisexual population with a set of females partitioned into finitely many different types and the males having only one type. We study basic properties of the algebra. ...
Split partial isometries
(Birkhauser Verlag Ag, 2013-08)
A partial isometry V is said to be a split partial isometry if H = R(V) + N(V), with R(V)∩ N(V ) = {0} (R(V) = range of V, N(V ) = null-space of V).We study the topological properties of the set I0 of such partial isometries. ...
Induced generalized ordered weighted logarithmic aggregation operators
(IEEE, 2017)
We present the induced generalized ordered weighted logarithmic aggregation (IGOWLA) operator. It is an extension of the generalized ordered weighted logarithmic aggregation (GOWLA) operator. The IGOWLA operator uses ...
Aggregation operators review-mathematical properties and behavioral measures
(Modern Education and Computer Science Press, 2015)
A problem that humans must face very often is that of having to add, melt or synthesize information, that is, combine together a series of data from various sources to reach a certain conclusion or make a certain decision. ...
C-Algebras on some Free-Banach Spaces
(Pleiades Publishing, 2020)
C-Algebras on some Free-Banach Spaces
(Pleiades Publishing, 2020)