155,221 research outputs found
Nullspaces and frames
In this paper we give new characterizations of Riesz and conditional Riesz
frames in terms of the properties of the nullspace of their synthesis
operators. On the other hand, we also study the oblique dual frames whose
coefficients in the reconstruction formula minimize different weighted norms.Comment: 16 page
Attachment, Forgiveness, and Generativity in Midlife
Current literature suggests secure attachment and forgiveness are positively correlated. However, to date, the relationship of adult attachment, forgiveness, and generativity has not been explored. In this current study, middle-aged adults, ages 45-80 from the George Fox University Alumni were surveyed to explore attachment (anxious and avoidant), generativity, and forgiveness. Since generativity is a prosocial trait, synonymous with altruism, suggesting one’s selfless service and concern for the well-being for others, it is predicted that generativity will have a positive relationship with forgiveness, and secure attachment. Further, multiple regression statistics were used to explore which of the independent variables (anxious attachment, avoidant attachment, and generativity) has the greatest effect on the dependent variable of trait forgiveness. Results indicated that there was a medium positive relationship between forgiveness and secure attachment, between generativity and secure attachment, and between forgiveness and generativity. Multiple regression found that each of the independent variables (anxious attachment, avoidant attachment, and generativity) were significant predictors of forgiveness with anxious attachment being the strongest predictor of forgiveness
Higher Weak Derivatives and Reflexive Algebras of Operators
Let D be a self-adjoint operator on a Hilbert space H and x a bounded
operator on H. We say that x is n-times weakly D-differentiable, if for any
pair of vectors a, b from H the function is n-times
differentiable. We give several characterizations of this property, among which
one is original. The results are used to show, that for a von Neumann algebra M
on H, the sub-algebra of n-times weakly D-differentiable operators has a
representation as a reflexive algebra of operators on a bigger Hilbert space.Comment: This version acknowledges results from the litterature, which the
first edition was unaware of. The result on the existence of a representation
with a reflexive image is ne
Rotation of the solar convection zone from helioseismology
Helioseismology has provided very detailed inferences about rotation of the
solar interior. Within the convection zone the rotation rate roughly shares the
latitudinal variation seen in the surface differential rotation. The transition
to the nearly uniformly rotating radiative interior takes place in a narrow
tachocline, which is likely important to the operation of the solar magnetic
cycle.The convection-zone rotation displays zonal flows, regions of slightly
more rapid and slow rotation, extending over much of the depth of the
convection zone and converging towards the equator as the solar cycle
progresses. In addition, there is some evidence for a quasi-periodic variation
in rotation, with a period of around 1.3 yr, at the equator near the bottom of
the convection zone.Comment: 12 pages, 8 figures. To appear in Proc. IAU Symposium 239: Convection
in Astrophysics,eds F. Kupka, I. W. Roxburgh & K. L. Chan, Cambridge
University Pres
Proving Montessori: Identity and Dilemmas in a Montessori Teacher’s Lived Experience
This phenomenological case study was conducted to better understand the experience of a Montessori teacher in a leadership role. A veteran Montessori teacher, newly hired by an established Montessori preschool, was interviewed over the course of her first year in the position. A critical discourse analysis revealed multiple social identities that contributed to her desire, and ability, to be what she felt was an authentic Montessori educator. While some of these discourses and social identities aligned, some did not, creating ideational dilemmas that affected her work, relationships, and personal identity. The findings suggest that current Montessori discourse excludes important characteristics of the teacher-lived experience. Acknowledging and discussing the social challenges Montessori teachers face is a necessary addition to teacher preparation, teacher support systems, and Montessori leadership decisions
Finite von Neumann algebra factors with property Gamma
Techniques introduced by G. Pisier in his proof that finite von Neumann
factors with property gamma have length at most 5 are modified to prove that
the length is 3. It is proved that if such a factor is a complemented subspace
of some larger C*-algebra then there exists a projection of norm one from the
larger onto the smaller algebra. A new proof of the fact that the second
continuous Hochschild cohomology group of such an algebra with coefficients in
the algebra vanishes, is also included.Comment: 12 page
Comment: Fisher Lecture: Dimension Reduction in Regression
Comment: Fisher Lecture: Dimension Reduction in Regression [arXiv:0708.3774]Comment: Published at http://dx.doi.org/10.1214/088342307000000041 in the
Statistical Science (http://www.imstat.org/sts/) by the Institute of
Mathematical Statistics (http://www.imstat.org
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